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LCM of 36/9, 45/12, 60/21

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


With the aid of the LCM of Fractions Calculator, you can rapidly get the lowest common multiple of fractions 36/9, 45/12, 60/21. Get the simple steps to find LCM of 36/9, 45/12, 60/21 is 60.

LCM(36/9, 45/12, 60/21) = 60

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Method to Find LCM of 36/9, 45/12, 60/21

Given values are 36/9, 45/12, 60/21

LCM of the Fractions formula is LCM = LCM of Numerators/GCF of Denominators

So, LCM of 36/9, 45/12, 60/21 = LCM of (36, 45, 60) /GCF of (9, 12, 21)

The least common multiple of 36, 45, 60 is 180

The GCF of 9, 12, 21 is 3

By substituting these values in the LCM formula

LCM of fractions 36/9, 45/12, 60/21 is 180/3 = 60

Therefore, the lowest common multiple of 36/9, 45/12, 60/21 is 60.

LCM of 36, 45, 60 using Common Division

Given numbers are 36, 45, 60

2  36, 45, 60
2  18, 45, 30
3  9, 45, 15
3  3, 15, 5
5  1, 5, 5
 1, 1, 1

So, the Lowest Common Multiple of 36, 45, 60 is 2 x 2 x 3 x 3 x 5 = 180.

GCF of 9, 12, 21 with Common Division

Given numbers are 9, 12, 21

There is no common factor between the given numbers

So, the GCF of 9, 12, 21 is 3

Thus, LCM Of 36/9, 45/12, 60/21 = LCM of 36, 45, 60/GCF of 9, 12, 21

= 180/3 = 60

Therefore, the least common multiple of fractions 36/9, 45/12, 60/21 is 60.

FAQs on LCM of Fractions 36/9, 45/12, 60/21

1. What is the formula used to calculate lcm of fractions?

The formula used to find the LCM Of fractions is LCM = LCM of Numerators/GCF of Denominators.

2. What is the LCM of fractions 36/9, 45/12, 60/21?

The LCM of fractions 36/9, 45/12, 60/21 is 60.