Least Common Multiple of 95/81, 55/156, 522/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/81, 55/156, 522/123 quickly i.e. 181830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/81, 55/156, 522/123 is 181830.

LCM(95/81, 55/156, 522/123) = 181830

LCM of 95/81, 55/156, 522/123

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 95/81,55/156,522/123

Given numbers are 95/81,55/156,522/123

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 95,55,522

Least Common Multiple of Numerators i.e. LCM of 95,55,522 is 545490.

GCF of Denominators means GCF of 81,156,123 as per the given fractions.

GCF of 81,156,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,55,522

LCM of Fractions 95/81,55/156,522/123 is 181830

5 95, 55, 522
19, 11, 522

∴ So the LCM of the given numbers is 5 x 19 x 11 x 522 = 545490

Least Common Multiple of 95,55,522 with GCF Formula

Least Common Multiple of 95,55,522 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 95,55,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,55,522) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,55,522) x common factors =1 x 5 = 5

LCM(95,55,522) = ( 95 × 55 × 522 ) / 5

LCM(95,55,522) = 2727450 / 5

LCM(95,55,522) = 545490


Lets's calculate GCF of 81,156,123

3 81, 156, 123
27, 52, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545490/3

Therefore the LCM of Fractions 95/81,55/156,522/123 is 181830

Greatest Common Factor of 81,156,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,156,123 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 81,156,123 . The biggest common factor number is the GCF number.
So the greatest common factor 81,156,123 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 95/81, 55/156, 522/123

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 95/81, 55/156, 522/123?

Answer: LCM of Numerators as per given numbers 95/81, 55/156, 522/123 is

LCM of Numerators i.e. for 95,55,522 is 545490

GCF of denominators i.e. for 81,156,123 is 3.

Thus, LCM of Fractions is 181830.Finally, LCM of Fractions for 95/81, 55/156, 522/123 is 181830.