Find the LCM of Numerators: Calculating LCM(3, 5, 7)

Question

Determine the least common multiple (LCM) of the following numerators:

3   7   5 \boxed{3} ~~~ \boxed{7} ~~~ \boxed{5}

Step-by-Step Solution

To find the least common multiple (LCM) of the numbers 3, 7, and 5, we use the prime factorization method:

Prime factors of each number:

  • 3: 31 3^1
  • 7: 71 7^1
  • 5: 51 5^1

The LCM is the product of the highest powers of all prime factors:

31×71×51=3×7×5=105 3^1 \times 7^1 \times 5^1 = 3 \times 7 \times 5 = 105

Answer

105

More Questions

Related Subjects

Common denominator

Question Types

Common Denominators: Finding a Common Denominator by Multiplying the Denominators Common Denominators: More than two fractions