Question

verify that your product of 32 and 48 is equal to the product of their HCF and LCM
please do it in a paper ​

Answer 1

Answer:

this is the answer.

hope it helps...✌️

Answer 2

Given

Two numbers are 32 & 48

To Verify

LCM × HCF = Product of numbers.

Solution

Let's find LCM of 32 & 48 by prime factorization method :

2 |32, 48

2 |16, 24

2 |8, 12

2 |4, 6

2 |2, 3

So, LCM = 2 × 2 × 2 × 2 × 2 × 3

LCM = 96

Again, factors of 32 & 48 are :

➾ Factors of 32 = 2 × 2 × 2 × 2 × 2

➾ Factors of 48 = 2 × 2 × 2 × 2 × 3

So, HCF = 2 × 2 × 2 × 2

HCF = 16

Verification :

➝ LCM × HCF = Product of numbers.

➝ 96 × 16 = 32 × 48

➝ 1536 = 1536 [Hence Verified!]

Therefore,

Product of LCM & HCF is equal to product of numbers.