Least Common Multiple of 81/125, 75/987, 261/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/125, 75/987, 261/482 quickly i.e. 58725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/125, 75/987, 261/482 is 58725.

LCM(81/125, 75/987, 261/482) = 58725

LCM of 81/125, 75/987, 261/482

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 81/125,75/987,261/482

Given numbers are 81/125,75/987,261/482

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 81,75,261

Least Common Multiple of Numerators i.e. LCM of 81,75,261 is 58725.

GCF of Denominators means GCF of 125,987,482 as per the given fractions.

GCF of 125,987,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,75,261

LCM of Fractions 81/125,75/987,261/482 is 58725

3 81, 75, 261
3 27, 25, 87
9, 25, 29

∴ So the LCM of the given numbers is 3 x 3 x 9 x 25 x 29 = 58725

Least Common Multiple of 81,75,261 with GCF Formula

Least Common Multiple of 81,75,261 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 81,75,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,75,261) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(81,75,261) x common factors =3 x 9 = 27

LCM(81,75,261) = ( 81 × 75 × 261 ) / 27

LCM(81,75,261) = 1585575 / 27

LCM(81,75,261) = 58725


Lets's calculate GCF of 125,987,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58725/1

Therefore the LCM of Fractions 81/125,75/987,261/482 is 58725

Greatest Common Factor of 125,987,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,987,482 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 125,987,482 . The biggest common factor number is the GCF number.
So the greatest common factor 125,987,482 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 81/125, 75/987, 261/482

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 81/125, 75/987, 261/482?

Answer: LCM of Numerators as per given numbers 81/125, 75/987, 261/482 is

LCM of Numerators i.e. for 81,75,261 is 58725

GCF of denominators i.e. for 125,987,482 is 1.

Thus, LCM of Fractions is 58725.Finally, LCM of Fractions for 81/125, 75/987, 261/482 is 58725.