Least Common Multiple of 74/902, 29/123, 149/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/902, 29/123, 149/861 quickly i.e. 319754/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/902, 29/123, 149/861 is 319754/41.

LCM(74/902, 29/123, 149/861) = 319754/41

LCM of 74/902, 29/123, 149/861

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 74/902,29/123,149/861

Given numbers are 74/902,29/123,149/861

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 74,29,149

Least Common Multiple of Numerators i.e. LCM of 74,29,149 is 319754.

GCF of Denominators means GCF of 902,123,861 as per the given fractions.

GCF of 902,123,861 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,29,149

LCM of Fractions 74/902,29/123,149/861 is 319754/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 319754

Least Common Multiple of 74,29,149 with GCF Formula

Least Common Multiple of 74,29,149 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 74,29,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,29,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,29,149) x common factors =1 x 1 = 1

LCM(74,29,149) = ( 74 × 29 × 149 ) / 1

LCM(74,29,149) = 319754 / 1

LCM(74,29,149) = 319754


Lets's calculate GCF of 902,123,861

41 902, 123, 861
22, 3, 21

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319754/41

Therefore the LCM of Fractions 74/902,29/123,149/861 is 319754/41

Greatest Common Factor of 902,123,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,123,861 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 123

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

1,3,41,123

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 902,123,861 . The biggest common factor number is the GCF number.
So the greatest common factor 902,123,861 is 41.


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 74/902, 29/123, 149/861

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 74/902, 29/123, 149/861?

Answer: LCM of Numerators as per given numbers 74/902, 29/123, 149/861 is

LCM of Numerators i.e. for 74,29,149 is 319754

GCF of denominators i.e. for 902,123,861 is 41.

Thus, LCM of Fractions is 319754/41.Finally, LCM of Fractions for 74/902, 29/123, 149/861 is 319754/41.