when a group of students are asked to stand in rows of 12, 16 and 20 they form a perfect rectangle. what is the least number of students in the group?
Answers
Answer:
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The least number of students in the group is 240.
Given,
The numbers are 12.16 and 20.
To Find,
The least number of students in the group.
Solution,
In this question, we have to find the LCM of the given numbers.
So, let's understand the concept of LCM.
LCM stands for Least Common Multiple.
In mathematics, LCM refers to the process of finding the smallest common multiple between two or more numbers. Common multiples are numbers that are multiples of two or more numbers.
Let's take the LCM of the numbers 12,16 and 20.
12 = 3 × 4.
16 = 4 × 4
20 = 5 × 4
The LCM of 12,16 and 20 is
= 3 × 4 × 4 × 5
= 240.
The least number of students in the group is 240.
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