The LCM of 144, 360 and 450 is:

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)
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  1. 4800
  2. 3600
  3. 7200
  4. 2400

Answer (Detailed Solution Below)

Option 2 : 3600
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Detailed Solution

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Given:

Numbers = 144, 360, 450.

Concept used:

LCM - least common multiple is defined as the smallest multiple that two or more multiples have in common.

Calculation:

prime factorization of 144 = 2 x 2 x 2 x 2 x 3 x 3

prime factorization  of  360 = 2 x 2 x 2 x 3 x 3 x 5

prime factorization of  450 = 2 x 3 x 3 x 5 x 5

LCM = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

= 3600

hence, the correct answer is '3600'.

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