Q7 of 124 Page 1

If the product of two numbers is 1080 and their HCF is 30, find their LCM.

We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.


Here a × b = 1080 and HCF = 30


∴ LCM = (a × b)/ HCF


⇒ LCM = 1080/30


⇒ LCM = 36


The LCM of given product of two numbers is 36.


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