Least Common Multiple of 357/378, 2619/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/378, 2619/729 quickly i.e. 11543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/378, 2619/729 is 11543.

LCM(357/378, 2619/729) = 11543

LCM of 357/378, 2619/729

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 357/378,2619/729

Given numbers are 357/378,2619/729

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 357,2619

Least Common Multiple of Numerators i.e. LCM of 357,2619 is 311661.

GCF of Denominators means GCF of 378,729 as per the given fractions.

GCF of 378,729 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,2619

LCM of Fractions 357/378,2619/729 is 11543

3 357, 2619
119, 873

∴ So the LCM of the given numbers is 3 x 119 x 873 = 311661

Least Common Multiple of 357,2619 with GCF Formula

Least Common Multiple of 357,2619 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 357,2619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,2619) = 3

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

GCF(357,2619) x common factors =3 x 1 = 3

LCM(357,2619) = ( 357 × 2619 ) / 3

LCM(357,2619) = 934983 / 3

LCM(357,2619) = 311661


Lets's calculate GCF of 378,729

3 378, 729
3 126, 243
3 42, 81
14, 27

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311661/27

Therefore the LCM of Fractions 357/378,2619/729 is 11543

Greatest Common Factor of 378,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,729 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 378,729 . The biggest common factor number is the GCF number.
So the greatest common factor 378,729 is 27.


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 357/378, 2619/729

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 357/378, 2619/729?

Answer: LCM of Numerators as per given numbers 357/378, 2619/729 is

LCM of Numerators i.e. for 357,2619 is 311661

GCF of denominators i.e. for 378,729 is 27.

Thus, LCM of Fractions is 11543.Finally, LCM of Fractions for 357/378, 2619/729 is 11543.