Question

the hcf and lcm of two numbers are 48 and288 respectively. one of the numbers is 144.find the other number

Answer 1

according to this formula
LCM*HCF = products of 2 numbers
288 * 48 =144 * x
13824 = 144* x
13824/144 = x
96 = x
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Answer 2

Given :

• HCF = 48
• LCM = 288
• One of the two nos. = 144

Formula :

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

Assuming :

Other number = x

Solution :

Product of the numbers = HCF × LCM

=> 144 × x = 48×288

=> x = 48×288/144

=> x = 96

Answer :

• 96 is the other number.

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