Question

Find the LCM and HCF of given numbers given below. Verify that their

product is equal to the product of the given numbers.

32, 3l​

Answer 1

Answer:

HCF=1

LCM=992

Product of 31 and 32=992=LCM (Proved)

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Step-by-step explanation:

HCF=Product of common factors

32=2*2*2*2*2*1

31=31*1 (hence a prime number)

Since there are no common factors, Therefore HCF of 32 and 31 is 1.

LCM=2^5*31=32*31=992

Since 31 is a prime number, it is only divisible by 1 and itself. Hence for 31 and 32, no common factors can be found, and so their LCM is equal to their product. LCM is lowest common multiple. So the lowest number which is divisible by both 31 and 32 is 992 which is the product of the two numbers. (Proved)