Least Common Multiple of 61/328, 204/712, 872/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/328, 204/712, 872/215 quickly i.e. 2712792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/328, 204/712, 872/215 is 2712792.

LCM(61/328, 204/712, 872/215) = 2712792

LCM of 61/328, 204/712, 872/215

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 61/328,204/712,872/215

Given numbers are 61/328,204/712,872/215

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 61,204,872

Least Common Multiple of Numerators i.e. LCM of 61,204,872 is 2712792.

GCF of Denominators means GCF of 328,712,215 as per the given fractions.

GCF of 328,712,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,204,872

LCM of Fractions 61/328,204/712,872/215 is 2712792

2 61, 204, 872
2 61, 102, 436
61, 51, 218

∴ So the LCM of the given numbers is 2 x 2 x 61 x 51 x 218 = 2712792

Least Common Multiple of 61,204,872 with GCF Formula

Least Common Multiple of 61,204,872 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 61,204,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,204,872) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(61,204,872) x common factors =1 x 4 = 4

LCM(61,204,872) = ( 61 × 204 × 872 ) / 4

LCM(61,204,872) = 10851168 / 4

LCM(61,204,872) = 2712792


Lets's calculate GCF of 328,712,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2712792/1

Therefore the LCM of Fractions 61/328,204/712,872/215 is 2712792

Greatest Common Factor of 328,712,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,712,215 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 328,712,215 . The biggest common factor number is the GCF number.
So the greatest common factor 328,712,215 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 61/328, 204/712, 872/215

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 61/328, 204/712, 872/215?

Answer: LCM of Numerators as per given numbers 61/328, 204/712, 872/215 is

LCM of Numerators i.e. for 61,204,872 is 2712792

GCF of denominators i.e. for 328,712,215 is 1.

Thus, LCM of Fractions is 2712792.Finally, LCM of Fractions for 61/328, 204/712, 872/215 is 2712792.