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LCM of 144/144, 180/180, 300/198

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 144/144, 180/180, 300/198. Get the simple steps to find LCM of 144/144, 180/180, 300/198 is 300.

LCM(144/144, 180/180, 300/198) = 300

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 144/144, 180/180, 300/198

Given values are 144/144, 180/180, 300/198

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

So, LCM of 144/144, 180/180, 300/198 = LCM of (144, 180, 300) /GCF of (144, 180, 198)

The least common multiple of 144, 180, 300 is 3600

The GCF of 144, 180, 198 is 12

By substituting these values in the LCM formula

LCM of fractions 144/144, 180/180, 300/198 is 3600/12 = 300

Therefore, the lowest common multiple of 144/144, 180/180, 300/198 is 300.

LCM of 144, 180, 300 using Common Division

Given numbers are 144, 180, 300

2  144, 180, 300
2  72, 90, 150
2  36, 45, 75
2  18, 45, 75
3  9, 45, 75
3  3, 15, 25
5  1, 5, 25
5  1, 1, 5
 1, 1, 1

So, the Lowest Common Multiple of 144, 180, 300 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600.

GCF of 144, 180, 198 with Common Division

Given numbers are 144, 180, 198

There is no common factor between the given numbers

So, the GCF of 144, 180, 198 is 12

Thus, LCM Of 144/144, 180/180, 300/198 = LCM of 144, 180, 300/GCF of 144, 180, 198

= 3600/12 = 300

Therefore, the least common multiple of fractions 144/144, 180/180, 300/198 is 300.

FAQs on LCM of Fractions 144/144, 180/180, 300/198

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 144/144, 180/180, 300/198?

The LCM of fractions 144/144, 180/180, 300/198 is 300.