Least Common Multiple of 3876/648, 4635/7857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3876/648, 4635/7857 quickly i.e. 5988420/81 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3876/648, 4635/7857 is 5988420/81.

LCM(3876/648, 4635/7857) = 5988420/81

LCM of 3876/648, 4635/7857

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 3876/648,4635/7857

Given numbers are 3876/648,4635/7857

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 3876,4635

Least Common Multiple of Numerators i.e. LCM of 3876,4635 is 5988420.

GCF of Denominators means GCF of 648,7857 as per the given fractions.

GCF of 648,7857 is 81 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3876,4635

LCM of Fractions 3876/648,4635/7857 is 5988420/81

3 3876, 4635
1292, 1545

∴ So the LCM of the given numbers is 3 x 1292 x 1545 = 5988420

Least Common Multiple of 3876,4635 with GCF Formula

Least Common Multiple of 3876,4635 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 3876,4635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3876,4635) = 3

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

GCF(3876,4635) x common factors =3 x 1 = 3

LCM(3876,4635) = ( 3876 × 4635 ) / 3

LCM(3876,4635) = 17965260 / 3

LCM(3876,4635) = 5988420


Lets's calculate GCF of 648,7857

3 648, 7857
3 216, 2619
3 72, 873
3 24, 291
8, 97

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5988420/81

Therefore the LCM of Fractions 3876/648,4635/7857 is 5988420/81

Greatest Common Factor of 648,7857 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,7857 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 7857

List of positive integer factors of 7857 that divides 7857 without a remainder.

1,3,9,27,81,97,291,873,2619,7857

Greatest Common Factor

We found the factors 648,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 648,7857 is 81.


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 3876/648, 4635/7857

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 3876/648, 4635/7857?

Answer: LCM of Numerators as per given numbers 3876/648, 4635/7857 is

LCM of Numerators i.e. for 3876,4635 is 5988420

GCF of denominators i.e. for 648,7857 is 81.

Thus, LCM of Fractions is 5988420/81.Finally, LCM of Fractions for 3876/648, 4635/7857 is 5988420/81.