SSC GD Constable 4 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 47 of 80

Marks: +1, -0

The LCM of 28, 60, 120 and 135 is:

Solution:

LCM of multiple numbers is the smallest number that is divisible by each of the numbers.
Calculation:
Prime factorization:

\;28=2^2 × 7

\;60=2^2 × 3 × 5

\;120=2^3 × 3 × 5

\;135=3^3 × 5

\;\;\text " LCM "\;=\;\text " Highest power of all primes "\;

\;⇒ \;\text " LCM "\;=2^3 × 3^3 × 5 × 7

\;⇒ \;\text " LCM "\;=8 × 27 × 5 × 7

\;⇒ \;\text " LCM "\;=7560

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