Least Common Multiple of 6936/56, 8658/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6936/56, 8658/618 quickly i.e. 5004324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6936/56, 8658/618 is 5004324.

LCM(6936/56, 8658/618) = 5004324

LCM of 6936/56, 8658/618

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 6936/56,8658/618

Given numbers are 6936/56,8658/618

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 6936,8658

Least Common Multiple of Numerators i.e. LCM of 6936,8658 is 10008648.

GCF of Denominators means GCF of 56,618 as per the given fractions.

GCF of 56,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6936,8658

LCM of Fractions 6936/56,8658/618 is 5004324

2 6936, 8658
3 3468, 4329
1156, 1443

∴ So the LCM of the given numbers is 2 x 3 x 1156 x 1443 = 10008648

Least Common Multiple of 6936,8658 with GCF Formula

Least Common Multiple of 6936,8658 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 6936,8658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6936,8658) = 6

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

GCF(6936,8658) x common factors =6 x 1 = 6

LCM(6936,8658) = ( 6936 × 8658 ) / 6

LCM(6936,8658) = 60051888 / 6

LCM(6936,8658) = 10008648


Lets's calculate GCF of 56,618

2 56, 618
28, 309

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10008648/2

Therefore the LCM of Fractions 6936/56,8658/618 is 5004324

Greatest Common Factor of 56,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,618 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 56,618 . The biggest common factor number is the GCF number.
So the greatest common factor 56,618 is 2.


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 6936/56, 8658/618

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 6936/56, 8658/618?

Answer: LCM of Numerators as per given numbers 6936/56, 8658/618 is

LCM of Numerators i.e. for 6936,8658 is 10008648

GCF of denominators i.e. for 56,618 is 2.

Thus, LCM of Fractions is 5004324.Finally, LCM of Fractions for 6936/56, 8658/618 is 5004324.