LCM and HCF Practice Test 3

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Question : 18 of 40

Marks: +1, -0

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is

2^4 × 3^5 × 5^2 × 7^2

. The third number is

$2^3 × 3^5 × 7^2$
$2^5 × 5^2 × 7^2$
$2^2 × 5^3 × 7^2$
$2^2 × 3^5 × 7^2$

Solution:

3240 = 2^3 × 3^4 × 5

3600 = 2^4 × 3^2 × 5^2

HCF

= 36 = 2^2 × 3^2

LCM

= 2^4 × 3^5 × 5^2 × 7^2

Hence, third number

= 2^2 × 3^5 × 7^2

.

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