Question

find the LCM and HCF find the product

1) 23438
2)62977

Answer 1

Answer:

Step-by-step explanation:

Answer: LCM and HCF of 510 and 92 are 23460 and 2 respectively ; 510 × 92 = 23460 × 2

we will find the HCF and LCM of 510 and 92  and verify that its product is equal to  510 times 92.

Explanation:

Let us find the LCM  and HCF of 510 and 92 by division method.

LCM of 510 and 92 by Common Division Method

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers. The product of all the prime numbers used for division is the LCM of 510 and 92.

LCM of 510 and 92 by Common Division method

So, the LCM of 510 and 92 is 23460.

HCF of 510 and 92 by Long Division  

Step 1: Divide 510 by 92 and check the remainder.

Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0

HCF of 510 and 92 by Long Division

So, the HCF of 510 and 92 is 2.

Let's verify LCM(510, 92) × GCF (510, 92) = Product of the numbers 510 and 92

LCM(510, 92) × GCF (510, 92) = 23460 × 2 = 46920

Product of the numbers 510 × 92 = 46920

Thus, LCM and HCF of 510 and 92 are 23460 and 2 respectively and LCM(510, 92) × HCF(510,92) = Product of the numbers 510 and 92