Least Common Multiple of 507/642, 9432/6865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/642, 9432/6865 quickly i.e. 1594008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/642, 9432/6865 is 1594008.

LCM(507/642, 9432/6865) = 1594008

LCM of 507/642, 9432/6865

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 507/642,9432/6865

Given numbers are 507/642,9432/6865

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 507,9432

Least Common Multiple of Numerators i.e. LCM of 507,9432 is 1594008.

GCF of Denominators means GCF of 642,6865 as per the given fractions.

GCF of 642,6865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,9432

LCM of Fractions 507/642,9432/6865 is 1594008

3 507, 9432
169, 3144

∴ So the LCM of the given numbers is 3 x 169 x 3144 = 1594008

Least Common Multiple of 507,9432 with GCF Formula

Least Common Multiple of 507,9432 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 507,9432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,9432) = 3

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

GCF(507,9432) x common factors =3 x 1 = 3

LCM(507,9432) = ( 507 × 9432 ) / 3

LCM(507,9432) = 4782024 / 3

LCM(507,9432) = 1594008


Lets's calculate GCF of 642,6865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594008/1

Therefore the LCM of Fractions 507/642,9432/6865 is 1594008

Greatest Common Factor of 642,6865 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,6865 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 6865

List of positive integer factors of 6865 that divides 6865 without a remainder.

1,5,1373,6865

Greatest Common Factor

We found the factors 642,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 642,6865 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 507/642, 9432/6865

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 507/642, 9432/6865?

Answer: LCM of Numerators as per given numbers 507/642, 9432/6865 is

LCM of Numerators i.e. for 507,9432 is 1594008

GCF of denominators i.e. for 642,6865 is 1.

Thus, LCM of Fractions is 1594008.Finally, LCM of Fractions for 507/642, 9432/6865 is 1594008.