Q. 104.6( 61 Votes )
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?
Answer :
LCM – Least common multiple
The LCM of two numbers is the smallest number that is a multiple of both the numbers.
(a) 9 and 4
LCM = 2 × 2 × 3 × 3 = 36
(b) 12 and 5
LCM = 2 × 2 × 3 × 5 = 60
(c) 6 and 5
LCM = 2 × 3 × 5 = 30
(d) 15 and 4
LCM = 2 × 2 × 3 × 5 = 60
Yes, it can be seen that in each case, LCM of given numbers is the product of thses numbers. When two numbers are co-prime, their LCM is the product of those numbers. Also, in each case, LCM is a multiple of 3.
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