Question

The product of two numbers is 2688 and their HCF is 4. find the LCM of the given numbers.​

Answer 1

Step-by-step explanation:

ANSWER

Product=133848

HCF=26

∴ the numbers are of the form

26a, 26b

When a and b are coprime.

LCM of (26a,16b)=26ab

HCF × LCM = product of numbers.

26×26ab=133848

ab=

676

133848

=198

∴ab=198

LCM=26ab=26×198=5148

Answer 2

Answer:

ANSWER

Product=133848

HCF=26

∴ the numbers are of the form

26a, 26b

When a and b are coprime.

LCM of (26a,16b)=26ab

HCF × LCM = product of numbers.

26×26ab=133848

ab=676133848=198

∴ab=198

LCM=26ab=26×198=5148