Question

1. The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, then find the other
number.

Answer 1

• The LCM of two number is 864
• HCF of two number is 144.
• one number is 288, then other number
• → Required number =$\red{\tt{\frac{H.C.F×L.C.M}{first\: number}}}$

• = $\frac{864×144}{288}$=432

So, Answer is 432.

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Answer 2

Given :

• HCF = 864
• LCM = 144
• One of the two nos. = 288

Formula :

$\bf\purple{\fbox{Product\:of\:the\: numbers\:= HCF×LCM}}$

Assuming :

Other number = x

Solution :

Product of the numbers = HCF × LCM

=> 288 × x = 864×144

=> x = 864×144/288

=> x = 432

Answer :

• 432 is the other number.

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