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LCM stands for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common.
Here’s a short story to help you understand more about LCM,
In a magical village, two friends, Alex and Max, loved playing with marbles. They both had their special marble collections. One day, they decided to find out when their collections would have the same arrangement again.
Alex had 4 marbles in his collection, and Max had 6 marbles. They started rolling their marbles, but it seemed to take forever to get the same arrangement.
Suddenly, a friendly wizard named LCM appeared. He told them about the magic of LCM, the Least Common Multiple. LCM was the smallest number that was a multiple of both 4 and 6.
Learn MoreList the first 5 multiples of 3.
Which of the following is not a multiple of 9?
Find the smallest common multiple of 5 and 6.
A shopkeeper sells candles in 12-packs and candle stands in 8-packs. What is the smallest number of candles and candle stands that Nita should buy so that there will be one candle for each candle stand?
What is the LCM of 12 and 20.
Shane wants to plant 48 marigold plants, and 60 rose plants in his garden. What is the smallest number of rows possible with the same number of marigold plants and rose plants in each row?
Boxes that are 12 inches tall are stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
What is the LCM of 100 and 120?
Find the first two common multiples of 3 and 5.
Kiara baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the lowest number of cookies possible, how many plastic containers does she need?
The wizard helped them find the LCM of 4 and 6, which was 12. This meant that after rolling their marbles 12 times, Alex and Max’s collections would have the same arrangement again.
Thanks to LCM, Alex and Max continued playing, knowing when their marble collections would match once more.
Simply put, LCM, or the Least Common Multiple, is a concept in mathematics that helps us find a number that is the smallest multiple of two or more given numbers. It’s like finding common ground or the least common denominator among different numbers.
For example: Take two integers, 2 and 3.
Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20…
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…
So, the LCM of 2 and 3 is 6.
