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Chapter 1: Q.945 (page 190)

In the following exercises, find the least common multiple of the following numbers using the multiples method.

6, 15

Short Answer

Expert verified

Least common multiple of 6, 15 is 30.

Step by step solution

01

Step 1. Given information. 

We have given numbers are 6 and 15.

02

Step 2. Concept used. 

Least Common Multiple: The smallest positive number that is a multiple of two or more numbers.

Steps to find the least common multiple:

List the first several multiples of each number.

Look for multiples common to both lists.

Look for the smallest number that is common to both lists.

This number is the LCM.

03

Step 3. Explanation. 

We have given numbers are 6 and 15,

Multiples of 6 are : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...

Multiples of 15 are: 15, 30, 45, 60, 75, 90...

We can see the common multiples between the multiples of 6 and 15 are 30, 60..

But we want least common multiple.

So the least common multiple of 6, 15 is 30.

04

Step 4. Conclusion. 

Hence, the least common multiple of 6, 15 is 30.

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