Greatest common factor gcf and least common multiple lcm word problems. Fun and engaging way to practice finding greatest common factor and least common multiple. This bundled lesson includes a ppt saved as a pdf for introducing analyzing and categorizing gcf and lcm word problems. Greatest common factor gcf and least common multiple. Create free printable worksheets for finding the greatest common factor gfc and least common multiple lcm of up to 6 numbers. Find and circle the key words which tells you whether you are finding the gcf or the lcm of the given numbers. Powerpoint presentation gcf and lcm problem solving. What is the greatest number of bouquets she can make. Cups are sold 5 to a package and plates are sold 10 to a package. Ged study guide math greatest common factor gcf and least common multiple lcm duration.
Find the least number of square tiles by which the floor of a room of dimensions 16. Sep 19, 2016 ged study guide math greatest common factor gcf and least common multiple lcm duration. Free worksheets for the greatest common factor gfc and. The largest number allowed for gcf is 1,000,000 and for lcm 10,000 to be safe to reduce the server load. Word problems that uses gcf or lcm worksheets related topics. Lcm and gcf word problems trailgeneral information. Find the prime factors for each number draw a prime factor diagram remember numbers in the overlap hcf numbers in the whole diagram lcm 1. Word problems involving highest common factor and lowest common multiple read each question carefully and think about what the question is asking. Word problems involving greatest common factor and least. If the above words are there in the word problems then according to that words find gcf or lcm. So we could say that 30 is equal to 2 times 3 times 5.
As we want to have pieces of equal length, we need to find a number that exactly divides both 18 and 24 that is, common factors. Example 1 th e youth orchestra has 18 violinists and 24 fl utists. Thus, the lcm of 48,72 and 108 2 x 2 x 2 x 2 x 3 x 3 x 3 432 seconds so after 144 seconds 7 min 12 seconds all the traffic lights will change simultaneously 7 min 12 seconds past 7 am. Lcm least common multiple math worksheetsprintables pdf for kids lcm worksheets for kids to practice lcm problems. The questions on the quiz will require students to use their. Grade 5 math word problems worksheet read and answer each question. Greatest common factorleast common multiple word problems. Hence, the least number of soldiers required is 900. Improve your math knowledge with free questions in gcf and lcm. Sep 19, 2016 here are three examples of word problems which can be solved using the gcf or the lcm. At the gym, hillary swims every 6 days, runs every 4 days and cycles every 16 days. Worksheet given in this section will be much useful to the students who would like to practice solving word problems on gcf and lcm. You can also make worksheets with mixed problems, including some for both gcf and lcm. The worksheets can be made in pdf or html formats, you can choose the number ranges, the number of problems, workspace, font size, and border.
The worksheets can be made in pdf or html formats, and are customizable with lots of options. How many packages of pencils and erasers should phillip buy. Evans has 120 crayons and 30 pieces of paper to give to her students. The answer key is automatically generated and is placed on the second page of the file you can use the generator to make worksheets either in html or pdf format both are easy to print. Gcf lcm problem solving by teach5ch, via slideshare lcm. Grade 6 gcf and lcm word problems displaying top 8 worksheets found for this concept some of the worksheets for this concept are gcf and lcm word problems 2, multiples word problems involving, name class date gcf and lcm word problems, word problems involving greatest common factor and least, greatest common factor gcf and least common.
Th e music director wants to place these 42 musicians in equal rows but without mixing the players. These worksheets require trees to determine the prime factorization of a number, including showing expanded and exponential forms. Magellan has decided to make party baskets for the fund raiser. Here are three examples of word problems which can be solved using the gcf or the lcm. After you know if you are going to find the gcf or lcm, determine which method you want to use and solve. She wants to make bouquets with the same number of each color flower in each bouquet. The least common multiple of 2 or more numbers is the smallest multiple of the common multiples. Gcf and lcm word problems worksheet real world problems with step by step solutions gcf and lcm word problems worksheet worksheet given in this section will be much useful for the students who would like to practice solving word problems on gcf and lcm.
Gcf and lcm word problems from gcf and lcm word problems to 6th grade math. To make 300 as perfect square, we have to multiply 300 by 3. To form a perfect square, we have to multiply 300 by some number such that it has to be a perfect square. M is the smallest number that is a common multiple of two or more numbers. Gcf and lcm word problems worksheet onlinemath4all.
As we are looking to have pieces of ribbon that are as long as possible, we are looking for the highest common factor. Using prime factors gcf and lcm suggested learning strategies. A common factor of two or more given numbers is a number which divides each given number completely. Balloons are sold in bags of 20, party horns are sold in bags of 10, and there are 8 candy bars in a package. Quantitative aptitude lcm hcf problems pdf download with. Kamal has 6 cans of regular soda and 15 cans of diet soda. Solutions to questions on lowest common multiple lcm. Sixth grade lesson gcf and lcm word problems betterlesson.
Chapter 2 gcf and lcm word problems 6th grade youtube. Helpful links site map accessibility information employment contact us. Greatest common factor gcf and least common multiple lcm. This problem can be solved using least common multiple because we are trying to figure out when the soonest least time will be that as the event of exercising continues multiple, it will occur at the same time common. If she did all three activities today, in how many days will she do all three activities again on the same day. Now theres other ways that you can find the least common multiple other than just looking at the multiples like this. Lcm least common multiple math worksheetsprintables pdf. Greatest common factor least common multiple word problems. This self checking activity allows students to work at hisher own pace. This part b covers the latter half of the 6th grade. Find the prime factors for each number draw a prime factor diagram remember numbers in the overlap hcf numbers in the whole diagram lcm.
Lcm the least common multiple lcm is the smallest number that is a multiple of the given numbers. Finding the greatest common factor gcf and least common. A factor is a number that can divide into another number with no remainder. Free greatest common factor worksheets with solutions, free least common multiple worksheets, fractions worksheets, numbers worksheets, practice lcm and gcf problems with worksheets and answers. A number may be made by multiplying two or more other numbers together. Here, we are cutting the ribbon into smaller pieces. Greatest common factorleast common multiple gcflcm in word problems are a tricky concept, but this set of 20 task cards is the perfect practice. This worksheet and quiz will help students measure their aptitude with gcf and lcm word problems.
Grade 6 gcf and lcm word problems displaying top 8 worksheets found for this concept some of the worksheets for this concept are gcf and lcm word problems 2, multiples word problems involving, name class date gcf and lcm word problems, word problems involving greatest common factor and least, greatest common factor gcf and least common multiple, greatest. Each worksheet is randomly generated and thus unique. You may also like my greatest common factorleast common multiple interactive notebook foldable brochure to accompany this activity as well. He wants to create some identical refreshment tables that will operate during the american football game. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times. Lcm hcf problems pdf download with solutions, complete quantitative and aptitude pdf notes for all competitive exams. Math mammoth grade 6a and grade 6b worktexts comprise a complete math curriculum for the sixth grade mathematics studies, aligned to the common core standards. The numbers that are multiplied together are called factors of the final number.
The lcm is given by product of all prime number in the prime factorization with the highest power. Before look at the worksheet, if you would like to learn the stuff gcf and lcm, please click here. Math prealgebra factors and multiples greatest common factor. Often, i create do nows that have problems that connect to the task that students will be working on that day. A multiple must be greater than or equal to the largest starting number. Greatest common factor gcf and least common multiple lcm word problems grade 5 math word problems worksheet read and answer each question. As there is a word simultaneously so you have to find the lcm of 48,72 and 108. On a separate piece of paper solve the problem by finding either the gcf or lcm. In my classroom, i use cps clickers and the students vote on which type gcf or lcm word problem is being shown. This digital scavenger hunt is designed to get students up and moving around the room while solving gcf and lcm word problems. A common factor of two or more given numbers is a number which divides each given number. Grade 6 gcf and lcm word problems worksheets kiddy math.
263 257 857 714 625 1398 1263 442 465 861 1377 405 106 333 1267 929 489 596 1174 603 1236 1233 964 197 479 1381 273 1110 926 1036 1298 473 1441 1079 792 542