Question

HCF of two numbers is 18 and their LCM is 144 if be greater than a find the maximum value of B​

Answer 1

maximum value of b = 144

given, HCF of two numbers is 18.

so we can suppose that two numbers are a = 18m and b = 18n where m and n are co-prime numbers.

LCM of 18m and 18n = 18 mn

⇒144 = 18 mn

⇒mn = 8

given, b > a

and to get maximum value of b , we should take m = 1 and n = 8

then, Value of b = 18n = 18 × 8 = 144

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