Question

Can two numbers have 15 as their HCF and 1525 as their LCM give reasons for your answer

Answer 1

Answer:

No

Step-by-step explanation:

• LCM=1525
• HCF=15

HCF is always a factor of LCM  

Let's prove the statement:

• 1525/15= 101 10/15

As we see 1525 is not fully divisible by 15, so HCF is not a factor of LCM, therefore 15 and 1525 can't be HCF and LCM for two numbers.