Least Common Multiple of 6138/943, 3976/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6138/943, 3976/975 quickly i.e. 12202344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6138/943, 3976/975 is 12202344.

LCM(6138/943, 3976/975) = 12202344

LCM of 6138/943, 3976/975

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 6138/943,3976/975

Given numbers are 6138/943,3976/975

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 6138,3976

Least Common Multiple of Numerators i.e. LCM of 6138,3976 is 12202344.

GCF of Denominators means GCF of 943,975 as per the given fractions.

GCF of 943,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6138,3976

LCM of Fractions 6138/943,3976/975 is 12202344

2 6138, 3976
3069, 1988

∴ So the LCM of the given numbers is 2 x 3069 x 1988 = 12202344

Least Common Multiple of 6138,3976 with GCF Formula

Least Common Multiple of 6138,3976 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 6138,3976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6138,3976) = 2

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

GCF(6138,3976) x common factors =2 x 1 = 2

LCM(6138,3976) = ( 6138 × 3976 ) / 2

LCM(6138,3976) = 24404688 / 2

LCM(6138,3976) = 12202344


Lets's calculate GCF of 943,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12202344/1

Therefore the LCM of Fractions 6138/943,3976/975 is 12202344

Greatest Common Factor of 943,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,975 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 943,975 . The biggest common factor number is the GCF number.
So the greatest common factor 943,975 is 1.


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 6138/943, 3976/975

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 6138/943, 3976/975?

Answer: LCM of Numerators as per given numbers 6138/943, 3976/975 is

LCM of Numerators i.e. for 6138,3976 is 12202344

GCF of denominators i.e. for 943,975 is 1.

Thus, LCM of Fractions is 12202344.Finally, LCM of Fractions for 6138/943, 3976/975 is 12202344.