Least Common Multiple of 81/621, 237/259, 120/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/621, 237/259, 120/125 quickly i.e. 255960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/621, 237/259, 120/125 is 255960.

LCM(81/621, 237/259, 120/125) = 255960

LCM of 81/621, 237/259, 120/125

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 81/621,237/259,120/125

Given numbers are 81/621,237/259,120/125

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 81,237,120

Least Common Multiple of Numerators i.e. LCM of 81,237,120 is 255960.

GCF of Denominators means GCF of 621,259,125 as per the given fractions.

GCF of 621,259,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,237,120

LCM of Fractions 81/621,237/259,120/125 is 255960

3 81, 237, 120
27, 79, 40

∴ So the LCM of the given numbers is 3 x 27 x 79 x 40 = 255960

Least Common Multiple of 81,237,120 with GCF Formula

Least Common Multiple of 81,237,120 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 81,237,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,237,120) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(81,237,120) x common factors =3 x 3 = 9

LCM(81,237,120) = ( 81 × 237 × 120 ) / 9

LCM(81,237,120) = 2303640 / 9

LCM(81,237,120) = 255960


Lets's calculate GCF of 621,259,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255960/1

Therefore the LCM of Fractions 81/621,237/259,120/125 is 255960

Greatest Common Factor of 621,259,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,259,125 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 125

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

1,5,25,125

Greatest Common Factor

We found the factors 621,259,125 . The biggest common factor number is the GCF number.
So the greatest common factor 621,259,125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/621, 237/259, 120/125

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 81/621, 237/259, 120/125?

Answer: LCM of Numerators as per given numbers 81/621, 237/259, 120/125 is

LCM of Numerators i.e. for 81,237,120 is 255960

GCF of denominators i.e. for 621,259,125 is 1.

Thus, LCM of Fractions is 255960.Finally, LCM of Fractions for 81/621, 237/259, 120/125 is 255960.