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# Find the LCM of (2/3,4/9,5/6,7/12)

Lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b

## Answer: The LCM of (2/3,4/9,5/6,7/12) is 140/3

Let's look into the calculation of LCM of fractions

**Explanation:**

LCM of fractions = LCM of Numerators / HCF of denominators

LCM (2,4,5,7) = 140

HCF (3,9,6,12) = 3

LCM (2/3,4/9,5/6,7/12) = LCM (2,4,5,7) / HCF (3,9,6,12) = 140 / 3

### Thus, LCM (2/3,4/9,5/6,7/12) is 140/3

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