Question

the hcf of two prime number is 8 if the two numbers are 40 and 48 find the Lcm

Answer 1

Well, first of all the first part of your question ("the hcf of two prime number is 8") is wrong.

The whole point of a prime number is that its only factor is itself and 1.

So, the HCF of any two prime numbers will always be 1.

Now, for the LCM of 40 and 48, we'll take the prime factorization of each

40 = 2×2×2×5 = 2^3 × 5

48 = 2×2×2×2×3 = 2^4 ×3

So, LCM = 2^4 × 3 × 5 = 240

Hope this Helped!

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