SSC GD Constable 4 Feb 2025 Shift 2 Paper

Section: Elementary Mathematics

Question : 44 of 80

Marks: +1, -0

The LCM of 672 and 7056 is _____.

Solution:

{\LCM}(a, b)=(a × b) \/ {\GCD}(a, b)

Calculation:
First, find the GCD of 672 and 7056:
Prime factorization of 672:

2^5 × 3 × 7

Prime factorization of 7056:

2^4 × 3^2 × 7^2

GCD=2^4 × 3 × 7=16 × 3 × 7=336

Now calculate the LCM:

\;⇒ {\LCM}(672,7056)=(672 × 7056) \/ 336

\;⇒ {\LCM}(672,7056)=14112

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