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What is the least common multiple of 33, 44, and 1010?\newline_____

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Q. What is the least common multiple of 33, 44, and 1010?\newline_____
  1. Prime factorization of 33: Prime factorization of 33. Prime factorization of 33: 33
  2. Prime factorization of 44: Prime factorization of 44. Prime factorization of 44: 2×22 \times 2
  3. Prime factorization of 1010: Prime factorization of 1010. Prime factorization of 1010: 2×52 \times 5
  4. Identify prime factors: Identify all distinct prime factors from the factorizations.\newlineDistinct prime factors: 22, 33, 55
  5. Calculate LCM: Multiply the highest powers of all distinct prime factors to find the LCM. 22×3×5=4×3×5=602^2 \times 3 \times 5 = 4 \times 3 \times 5 = 60

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