What is the LCM of 147/64 and 30/44?

To find the Least Common Multiple (LCM) of fractions, you must use the following standard formula:

LCM of fractions = (LCM of the numerators) / (HCF of the denominators)

Step-by-Step Calculation

1. Simplify the fractions: Before applying the formula, it is best to simplify each fraction to its lowest form to ensure accuracy.

• 147 / 64: 147 and 64 share no common factors. This is already in simplest form.

• 30 / 44: Dividing both numerator and denominator by 2 gives 15 / 22.

2. Identify Numerators and Denominators:

• Numerators: 147 and 15

• Denominators: 64 and 22

3. Find the LCM of the numerators (147 and 15):

• 147 = 3 × 7 × 7

• 15 = 3 × 5

• LCM = 3 × 7 × 7 × 5 = 735

4. Find the HCF of the denominators (64 and 22):

• 64 = 2 × 2 × 2 × 2 × 2 × 2

• 22 = 2 × 11

• The only common factor is 2. So, HCF = 2.

5. Calculate the final LCM:

• LCM = 735 / 2