Least Common Multiple of 2478/218, 3543/2715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2478/218, 3543/2715 quickly i.e. 2926518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2478/218, 3543/2715 is 2926518.

LCM(2478/218, 3543/2715) = 2926518

LCM of 2478/218, 3543/2715

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 2478/218,3543/2715

Given numbers are 2478/218,3543/2715

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 2478,3543

Least Common Multiple of Numerators i.e. LCM of 2478,3543 is 2926518.

GCF of Denominators means GCF of 218,2715 as per the given fractions.

GCF of 218,2715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2478,3543

LCM of Fractions 2478/218,3543/2715 is 2926518

3 2478, 3543
826, 1181

∴ So the LCM of the given numbers is 3 x 826 x 1181 = 2926518

Least Common Multiple of 2478,3543 with GCF Formula

Least Common Multiple of 2478,3543 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 2478,3543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2478,3543) = 3

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

GCF(2478,3543) x common factors =3 x 1 = 3

LCM(2478,3543) = ( 2478 × 3543 ) / 3

LCM(2478,3543) = 8779554 / 3

LCM(2478,3543) = 2926518


Lets's calculate GCF of 218,2715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2926518/1

Therefore the LCM of Fractions 2478/218,3543/2715 is 2926518

Greatest Common Factor of 218,2715 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,2715 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors 218,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 218,2715 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 2478/218, 3543/2715

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 2478/218, 3543/2715?

Answer: LCM of Numerators as per given numbers 2478/218, 3543/2715 is

LCM of Numerators i.e. for 2478,3543 is 2926518

GCF of denominators i.e. for 218,2715 is 1.

Thus, LCM of Fractions is 2926518.Finally, LCM of Fractions for 2478/218, 3543/2715 is 2926518.