Question

prove the product of numebers = product of lcm and hcf for 35 and 80​

Answer 1

Answer:

hcf= 5

LCM=560

is there answer

Answer 2

Given:

• 2 numbers are 35 and 80

To prove:

HCF × LCM = Product of 2 numbers

Solution:

By Prime Factorisation:

• 35 = 5 × 7
• 80 = 5 × 2 × 2 × 2 × 2 = 5 × 2⁴

In these 2 numbers, we observe that:

LCM = 5 × 7 × 2⁴ = 560

HCF = Common number in both given numbers = 5

Now, Let us verify their relation:

HCF × LCM = Product of 2 numbers

⇒ 5 × 560 = 35 × 80

⇒ 2800 = 2800

✬ HENCE PROVED ✬

KNOW MORE:

When numbers say, A and B are prime factorized,

• HCF = A ∩ B
• LCM = A ∪ B