Find the LCM of the following numbers:
(a) 9 and 4
(b) 12 and 5
(c) 6 and 5
(d) 15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
Solution:
We will be using the concept of LCM(Least Common Multiple) to solve this.
(a) Let us find the LCM of 9 and 4
Hence, LCM = 2 × 2 × 3 × 3 = 36
Product of the numbers = 9 × 4 = 36
(b) Let us find the LCM of 12 and 5
Hence, LCM = 2 × 2 × 3 × 5 = 60
Product of the numbers = 12 × 5 = 60
(c) Let us find the LCM of 6, 5
Hence, LCM = 2 × 3 × 5 = 30
Product of the numbers = 6 × 5 = 30
(d) Let us find the LCM of 15 and 4
Hence, LCM = 2 × 2 × 3 × 5 = 60
Product of the numbers = 15 × 4 = 60
Therefore, we have observed in each case that the LCM of the given numbers is equal to the product of the two numbers given.
You can also use the LCM Calculator to solve this.
NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 Question 10
Find the LCM of the following numbers : (a) 9 and 4 (b) 12 and 5 (c) 6 and 5 (d) 15 and 4. Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
Summary:
(a) LCM of 9 and 4 is 36 (b) LCM of 12 and 5 is 60 (c) LCM of 6 and 5 is 30 (d) LCM of 15 and 4 is 60. Therefore, we have observed in each case that the LCM of given numbers is equal to the product of the two numbers given.
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