Find the LCM of the following numbers in which one number is the factor of the other.
(a) 5, 20
(b) 6, 18
(c) 12, 48
(d) 9, 45
What do you observe in the results obtained?

Solution:

We will be using the concept of LCM(Least Common Multiple) to solve this.

Here it is given that one number is a factor of another number which means one number completely divides the other number.

Let's find the LCM in each case

(a) LCM of 5 and 20

Hence, LCM = 2 × 2 × 5 = 20

(b) LCM of 6 and 18

Hence, LCM = 2 × 3 × 3 = 18

(c) LCM of 12 and 48

Hence, LCM = 2 × 2 × 2 × 2 × 3 = 48

(d) LCM of 9 and 45

Hence, LCM = 3 × 3 × 5 = 45

Therefore, in each case, the LCM of given numbers is the larger number. Hence, we can generalize the statement by saying that their LCM will be the larger number whenever a number is a factor of the other number.

You can also use the LCM Calculator to solve this.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 Question 11

Find the LCM of the following numbers in which one number is the factor of the other. (a) 5, 20 (b) 6, 18 (c) 12, 48 (d) 9, 45 What do you observe in the results obtained?

Summary: 

(a)LCM of 5 and 20 is 20 (b) LCM of 6 and 18 is 20 (c) LCM of 12 and 48 is 48 (d) LCM of 9 and 45 is 45. We can generalize the statement by saying that their LCM will be the larger number whenever a number is a factor of the other number.

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