Which of the following is the Least Common Multiple of 18,24 and 36?

Maths / Basic Math — Multiple-choice practice

  1. A. None of these
  2. B. 72
  3. C. 24
  4. D. 36

Correct answer

72

Explanation

Explanation To find the Least Common Multiple (LCM) of 18, 24, and 36: Prime factorization: 18 = 2 * 3² 24 = 2³ * 3 36 = 2² * 3² LCM is the product of the highest powers of all prime factors: Highest power of 2: 2³ (from 24) Highest power of 3: 3² (from 18 and 36) LCM = 2³ * 3² = 8 * 9 = 72

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