1.

The Ratio Of Two Numbers Is 4 : 5. If The Hcf Of These Numbers Is 6, What Is Their Lcm?

Answer»

Let the NUMBERS be 4k and 5k

HCF of 4 and 5 = 1

Hence HCF of 4k and 5k = k

Given that HCF of 4k and 5k = 6

=> k = 6

Hence the numbers are (4 × 6) and (5 × 6) 

= 24 and 30

LCM of 24 and 30 = 120.

Let the numbers be 4k and 5k

HCF of 4 and 5 = 1

Hence HCF of 4k and 5k = k

Given that HCF of 4k and 5k = 6

=> k = 6

Hence the numbers are (4 × 6) and (5 × 6) 

= 24 and 30

LCM of 24 and 30 = 120.



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