how do I find the the least common denominator of 3 or more fractions? I have been reading many ways but they are very complicated, so please explain me in easy way. thank you for help!

EDIT: thanks for all help! helped me big time!

Guest Jul 15, 2017

edited by
Guest
Jul 20, 2017

#2**0 **

Find the least common multiple or common denominator:

lcm(2, 3, 4, 5)

Find the prime factorization of each integer:

The prime factorization of 2 is:

2 = 2^1

The prime factorization of 3 is:

3 = 3^1

The prime factorization of 4 is:

4 = 2^2

The prime factorization of 5 is:

5 = 5^1

Find the largest power of each prime factor.

The largest power of 2 that appears in the prime factorizations is 2^2.

The largest power of 3 that appears in the prime factorizations is 3^1.

The largest power of 5 that appears in the prime factorizations is 5^1.

Therefore lcm(2, 3, 4, 5) = 2^2×3^1×5^1:

**Answer: | lcm(2, 3, 4, 5) = 60**

Guest Jul 15, 2017

#3**+1 **

The guest above me gave you the method, but you mentioned the **least common denominator of 3 or more fractions.**

i think i can assume you know how to find the least common denominator for 2 numbers. So you could also do this:

Suppose you need to find the least common denominator for {a_{1}, a_{2}, ...., a_{n}}.

First step: find the least common denominator for a_{1 }and a_{2}.

Replace a_{1 }and a_{2 }with x_{1}, their least common denominator.

Second step: find the least common denominator for x_{1}^{ }and a_{3}.

Replace x_{1} and a_{3} with x_{2}, their least common denominator.

.

.

.

.

Continue this until you get to x_{n-1}.

I know the guest above me already answered the question, i just wanted to show you you can use what you already know to solve this question ;).

Guest Jul 16, 2017

#4**0 **

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Guest Jul 17, 2017