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Q.

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?

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Detailed Solution

(a) LCM of 9, 4

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 - 12

LCM = 2 × 2 × 3 × 3 = 36
and product of 9 × 4 = 36

(b) LCM of 12, 5

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 - 13

LCM = 2 × 2 × 3 × 5 = 60
and product of 12 × 5 = 60

(c) LCM of 6, 5

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 - 14

LCM = 2 × 3 × 5 = 30
and product of 6 × 5 = 30

(d) LCM of 15, 4

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 - 15

LCM = 2 × 2 × 3 × 5 = 60
and product of 15 × 4 = 60

Therefore, here in each case, we can observe that the given numbers' LCM is their product.

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