Least Common Multiple of 8385/57, 7404/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8385/57, 7404/567 quickly i.e. 6898060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8385/57, 7404/567 is 6898060.

LCM(8385/57, 7404/567) = 6898060

LCM of 8385/57, 7404/567

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 8385/57,7404/567

Given numbers are 8385/57,7404/567

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 8385,7404

Least Common Multiple of Numerators i.e. LCM of 8385,7404 is 20694180.

GCF of Denominators means GCF of 57,567 as per the given fractions.

GCF of 57,567 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8385,7404

LCM of Fractions 8385/57,7404/567 is 6898060

3 8385, 7404
2795, 2468

∴ So the LCM of the given numbers is 3 x 2795 x 2468 = 20694180

Least Common Multiple of 8385,7404 with GCF Formula

Least Common Multiple of 8385,7404 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 8385,7404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8385,7404) = 3

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

GCF(8385,7404) x common factors =3 x 1 = 3

LCM(8385,7404) = ( 8385 × 7404 ) / 3

LCM(8385,7404) = 62082540 / 3

LCM(8385,7404) = 20694180


Lets's calculate GCF of 57,567

3 57, 567
19, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20694180/3

Therefore the LCM of Fractions 8385/57,7404/567 is 6898060

Greatest Common Factor of 57,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,567 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 57,567 . The biggest common factor number is the GCF number.
So the greatest common factor 57,567 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 8385/57, 7404/567

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 8385/57, 7404/567?

Answer: LCM of Numerators as per given numbers 8385/57, 7404/567 is

LCM of Numerators i.e. for 8385,7404 is 20694180

GCF of denominators i.e. for 57,567 is 3.

Thus, LCM of Fractions is 6898060.Finally, LCM of Fractions for 8385/57, 7404/567 is 6898060.