Least Common Multiple of 3900/876, 9789/6296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3900/876, 9789/6296 quickly i.e. 244725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3900/876, 9789/6296 is 244725.

LCM(3900/876, 9789/6296) = 244725

LCM of 3900/876, 9789/6296

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 3900/876,9789/6296

Given numbers are 3900/876,9789/6296

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 3900,9789

Least Common Multiple of Numerators i.e. LCM of 3900,9789 is 978900.

GCF of Denominators means GCF of 876,6296 as per the given fractions.

GCF of 876,6296 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3900,9789

LCM of Fractions 3900/876,9789/6296 is 244725

3 3900, 9789
13 1300, 3263
100, 251

∴ So the LCM of the given numbers is 3 x 13 x 100 x 251 = 978900

Least Common Multiple of 3900,9789 with GCF Formula

Least Common Multiple of 3900,9789 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 3900,9789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3900,9789) = 39

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

GCF(3900,9789) x common factors =39 x 1 = 39

LCM(3900,9789) = ( 3900 × 9789 ) / 39

LCM(3900,9789) = 38177100 / 39

LCM(3900,9789) = 978900


Lets's calculate GCF of 876,6296

2 876, 6296
2 438, 3148
219, 1574

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 978900/4

Therefore the LCM of Fractions 3900/876,9789/6296 is 244725

Greatest Common Factor of 876,6296 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,6296 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 6296

List of positive integer factors of 6296 that divides 6296 without a remainder.

1,2,4,8,787,1574,3148,6296

Greatest Common Factor

We found the factors 876,6296 . The biggest common factor number is the GCF number.
So the greatest common factor 876,6296 is 4.


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 3900/876, 9789/6296

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 3900/876, 9789/6296?

Answer: LCM of Numerators as per given numbers 3900/876, 9789/6296 is

LCM of Numerators i.e. for 3900,9789 is 978900

GCF of denominators i.e. for 876,6296 is 4.

Thus, LCM of Fractions is 244725.Finally, LCM of Fractions for 3900/876, 9789/6296 is 244725.