Question

Can two numbers have 17 as HCF and 510 as LCM ? Why ?​

Answer 1

Answer:

prime factors of 92 and 510 are:

92=2*2*23

510=2*3*5*17

here we see the common factors are:

2 only so HCF(92,510)=2

Now for LCM we have to find smallest no divisible by 92 and 510 both

we have to take maximum power of all factors

so LCM=2^2*3^1*5^1*23^1*17^1

=4*3*5*23*17

=23460

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