Least Common Multiple of 615/81, 648/9640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/81, 648/9640 quickly i.e. 132840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/81, 648/9640 is 132840.

LCM(615/81, 648/9640) = 132840

LCM of 615/81, 648/9640

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 615/81,648/9640

Given numbers are 615/81,648/9640

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 615,648

Least Common Multiple of Numerators i.e. LCM of 615,648 is 132840.

GCF of Denominators means GCF of 81,9640 as per the given fractions.

GCF of 81,9640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,648

LCM of Fractions 615/81,648/9640 is 132840

3 615, 648
205, 216

∴ So the LCM of the given numbers is 3 x 205 x 216 = 132840

Least Common Multiple of 615,648 with GCF Formula

Least Common Multiple of 615,648 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 615,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,648) = 3

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

GCF(615,648) x common factors =3 x 1 = 3

LCM(615,648) = ( 615 × 648 ) / 3

LCM(615,648) = 398520 / 3

LCM(615,648) = 132840


Lets's calculate GCF of 81,9640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132840/1

Therefore the LCM of Fractions 615/81,648/9640 is 132840

Greatest Common Factor of 81,9640 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,9640 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 9640

List of positive integer factors of 9640 that divides 9640 without a remainder.

1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640

Greatest Common Factor

We found the factors 81,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 81,9640 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 615/81, 648/9640

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 615/81, 648/9640?

Answer: LCM of Numerators as per given numbers 615/81, 648/9640 is

LCM of Numerators i.e. for 615,648 is 132840

GCF of denominators i.e. for 81,9640 is 1.

Thus, LCM of Fractions is 132840.Finally, LCM of Fractions for 615/81, 648/9640 is 132840.