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Mathematics — CBSE Class 10 board question

Q1. [1]
The LCM of three numbers 28, 44, 132 is :
  1. A $258$
  2. B $231$
  3. C $462$
  4. D $924$
Previously asked in CBSE board exam
2024 30/5/1 Q13
Generated by claude-sonnet-4-6 · 2026-06-15 10:29 · grounding rag
Model Answer

Option D: 924

$28 = 2^2 \times 7,\quad 44 = 2^2 \times 11,\quad 132 = 2^2 \times 3 \times 11$

LCM $= 2^2 \times 3 \times 7 \times 11 = 924$

Explanation

LCM is the product of the greatest powers of all prime factors present. Here the primes are 2, 3, 7, 11 — take $2^2, 3^1, 7^1, 11^1$ and multiply. A common mistake is forgetting one of the prime factors (like 7 or 3), which gives a wrong smaller value. Always list prime factorisations first.

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