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What is the L.C.M. of 14 and 35?

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Question: What is the L.C.M. of 14 and 35?

Options:

  1. 70
  2. 140
  3. 28
  4. 105

Correct Answer: 70

Solution: 

The L.C.M. of 14 and 35 is 70.

What is the L.C.M. of 14 and 35?

Practice Questions

Q1
What is the L.C.M. of 14 and 35?
  1. 70
  2. 140
  3. 28
  4. 105

Questions & Step-by-Step Solutions

What is the L.C.M. of 14 and 35?
  • Step 1: List the prime factors of each number.
  • Step 2: The prime factors of 14 are 2 and 7.
  • Step 3: The prime factors of 35 are 5 and 7.
  • Step 4: Identify all unique prime factors from both numbers: 2, 5, and 7.
  • Step 5: Multiply all unique prime factors together: 2 * 5 * 7.
  • Step 6: Calculate the product: 2 * 5 = 10, then 10 * 7 = 70.
  • Step 7: The L.C.M. of 14 and 35 is 70.
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