Least Common Multiple of 62/189, 90/936, 147/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/189, 90/936, 147/816 quickly i.e. 45570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/189, 90/936, 147/816 is 45570.

LCM(62/189, 90/936, 147/816) = 45570

LCM of 62/189, 90/936, 147/816

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 62/189,90/936,147/816

Given numbers are 62/189,90/936,147/816

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 62,90,147

Least Common Multiple of Numerators i.e. LCM of 62,90,147 is 136710.

GCF of Denominators means GCF of 189,936,816 as per the given fractions.

GCF of 189,936,816 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,90,147

LCM of Fractions 62/189,90/936,147/816 is 45570

2 62, 90, 147
3 31, 45, 147
31, 15, 49

∴ So the LCM of the given numbers is 2 x 3 x 31 x 15 x 49 = 136710

Least Common Multiple of 62,90,147 with GCF Formula

Least Common Multiple of 62,90,147 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,90,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,90,147) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,90,147) x common factors =1 x 6 = 6

LCM(62,90,147) = ( 62 × 90 × 147 ) / 6

LCM(62,90,147) = 820260 / 6

LCM(62,90,147) = 136710


Lets's calculate GCF of 189,936,816

3 189, 936, 816
63, 312, 272

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136710/3

Therefore the LCM of Fractions 62/189,90/936,147/816 is 45570

Greatest Common Factor of 189,936,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,936,816 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 189,936,816 . The biggest common factor number is the GCF number.
So the greatest common factor 189,936,816 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 62/189, 90/936, 147/816

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 62/189, 90/936, 147/816?

Answer: LCM of Numerators as per given numbers 62/189, 90/936, 147/816 is

LCM of Numerators i.e. for 62,90,147 is 136710

GCF of denominators i.e. for 189,936,816 is 3.

Thus, LCM of Fractions is 45570.Finally, LCM of Fractions for 62/189, 90/936, 147/816 is 45570.