Least Common Multiple of 2418/564, 3090/5031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2418/564, 3090/5031 quickly i.e. 415090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2418/564, 3090/5031 is 415090.

LCM(2418/564, 3090/5031) = 415090

LCM of 2418/564, 3090/5031

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 2418/564,3090/5031

Given numbers are 2418/564,3090/5031

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 2418,3090

Least Common Multiple of Numerators i.e. LCM of 2418,3090 is 1245270.

GCF of Denominators means GCF of 564,5031 as per the given fractions.

GCF of 564,5031 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2418,3090

LCM of Fractions 2418/564,3090/5031 is 415090

2 2418, 3090
3 1209, 1545
403, 515

∴ So the LCM of the given numbers is 2 x 3 x 403 x 515 = 1245270

Least Common Multiple of 2418,3090 with GCF Formula

Least Common Multiple of 2418,3090 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 2418,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2418,3090) = 6

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

GCF(2418,3090) x common factors =6 x 1 = 6

LCM(2418,3090) = ( 2418 × 3090 ) / 6

LCM(2418,3090) = 7471620 / 6

LCM(2418,3090) = 1245270


Lets's calculate GCF of 564,5031

3 564, 5031
188, 1677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1245270/3

Therefore the LCM of Fractions 2418/564,3090/5031 is 415090

Greatest Common Factor of 564,5031 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,5031 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 5031

List of positive integer factors of 5031 that divides 5031 without a remainder.

1,3,9,13,39,43,117,129,387,559,1677,5031

Greatest Common Factor

We found the factors 564,5031 . The biggest common factor number is the GCF number.
So the greatest common factor 564,5031 is 3.


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 2418/564, 3090/5031

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 2418/564, 3090/5031?

Answer: LCM of Numerators as per given numbers 2418/564, 3090/5031 is

LCM of Numerators i.e. for 2418,3090 is 1245270

GCF of denominators i.e. for 564,5031 is 3.

Thus, LCM of Fractions is 415090.Finally, LCM of Fractions for 2418/564, 3090/5031 is 415090.