Least Common Multiple of 102/79, 771/18, 923/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 102/79, 771/18, 923/124 quickly i.e. 24195522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/79, 771/18, 923/124 is 24195522.

LCM(102/79, 771/18, 923/124) = 24195522

LCM of 102/79, 771/18, 923/124

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 102/79,771/18,923/124

Given numbers are 102/79,771/18,923/124

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 102,771,923

Least Common Multiple of Numerators i.e. LCM of 102,771,923 is 24195522.

GCF of Denominators means GCF of 79,18,124 as per the given fractions.

GCF of 79,18,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,771,923

LCM of Fractions 102/79,771/18,923/124 is 24195522

3 102, 771, 923
34, 257, 923

∴ So the LCM of the given numbers is 3 x 34 x 257 x 923 = 24195522

Least Common Multiple of 102,771,923 with GCF Formula

Least Common Multiple of 102,771,923 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 102,771,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,771,923) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(102,771,923) x common factors =1 x 3 = 3

LCM(102,771,923) = ( 102 × 771 × 923 ) / 3

LCM(102,771,923) = 72586566 / 3

LCM(102,771,923) = 24195522


Lets's calculate GCF of 79,18,124

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24195522/1

Therefore the LCM of Fractions 102/79,771/18,923/124 is 24195522

Greatest Common Factor of 79,18,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,18,124 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 79,18,124 . The biggest common factor number is the GCF number.
So the greatest common factor 79,18,124 is 1.


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Frequently Asked Questions on Fractional LCM of 102/79, 771/18, 923/124

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 102/79, 771/18, 923/124?

Answer: LCM of Numerators as per given numbers 102/79, 771/18, 923/124 is

LCM of Numerators i.e. for 102,771,923 is 24195522

GCF of denominators i.e. for 79,18,124 is 1.

Thus, LCM of Fractions is 24195522.Finally, LCM of Fractions for 102/79, 771/18, 923/124 is 24195522.