Least Common Multiple of 124/876, 2274/3843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/876, 2274/3843 quickly i.e. 46996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/876, 2274/3843 is 46996.

LCM(124/876, 2274/3843) = 46996

LCM of 124/876, 2274/3843

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 124/876,2274/3843

Given numbers are 124/876,2274/3843

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 124,2274

Least Common Multiple of Numerators i.e. LCM of 124,2274 is 140988.

GCF of Denominators means GCF of 876,3843 as per the given fractions.

GCF of 876,3843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,2274

LCM of Fractions 124/876,2274/3843 is 46996

2 124, 2274
62, 1137

∴ So the LCM of the given numbers is 2 x 62 x 1137 = 140988

Least Common Multiple of 124,2274 with GCF Formula

Least Common Multiple of 124,2274 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 124,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,2274) = 2

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

GCF(124,2274) x common factors =2 x 1 = 2

LCM(124,2274) = ( 124 × 2274 ) / 2

LCM(124,2274) = 281976 / 2

LCM(124,2274) = 140988


Lets's calculate GCF of 876,3843

3 876, 3843
292, 1281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140988/3

Therefore the LCM of Fractions 124/876,2274/3843 is 46996

Greatest Common Factor of 876,3843 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,3843 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 3843

List of positive integer factors of 3843 that divides 3843 without a remainder.

1,3,7,9,21,61,63,183,427,549,1281,3843

Greatest Common Factor

We found the factors 876,3843 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3843 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 124/876, 2274/3843

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 124/876, 2274/3843?

Answer: LCM of Numerators as per given numbers 124/876, 2274/3843 is

LCM of Numerators i.e. for 124,2274 is 140988

GCF of denominators i.e. for 876,3843 is 3.

Thus, LCM of Fractions is 46996.Finally, LCM of Fractions for 124/876, 2274/3843 is 46996.