Question

The $[HCF\times LCM]$ for the numbers $50$ and $20$ is

• A. $10$
• B. $100$
• C. $1000$
• D. $50$

Answer 1

The correct option is C $1000$

Given two numbers

$50$ and $20$

expanding each as factors of prime numbers

$50=2\times 5\times 5$

$20=2\times 2\times 5$

The common prime factors are $2,5$

$HCF=2\times 5=10$

$LCM=2\times 5\times 2\times 5=100$

$LCM\times HCF=100\times 10=1000$