Least Common Multiple of 60/687, 99/415, 261/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/687, 99/415, 261/942 quickly i.e. 57420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/687, 99/415, 261/942 is 57420.

LCM(60/687, 99/415, 261/942) = 57420

LCM of 60/687, 99/415, 261/942

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 60/687,99/415,261/942

Given numbers are 60/687,99/415,261/942

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 60,99,261

Least Common Multiple of Numerators i.e. LCM of 60,99,261 is 57420.

GCF of Denominators means GCF of 687,415,942 as per the given fractions.

GCF of 687,415,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,99,261

LCM of Fractions 60/687,99/415,261/942 is 57420

3 60, 99, 261
3 20, 33, 87
20, 11, 29

∴ So the LCM of the given numbers is 3 x 3 x 20 x 11 x 29 = 57420

Least Common Multiple of 60,99,261 with GCF Formula

Least Common Multiple of 60,99,261 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 60,99,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,99,261) = 3

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

GCF(60,99,261) x common factors =3 x 9 = 27

LCM(60,99,261) = ( 60 × 99 × 261 ) / 27

LCM(60,99,261) = 1550340 / 27

LCM(60,99,261) = 57420


Lets's calculate GCF of 687,415,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57420/1

Therefore the LCM of Fractions 60/687,99/415,261/942 is 57420

Greatest Common Factor of 687,415,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,415,942 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 687,415,942 . The biggest common factor number is the GCF number.
So the greatest common factor 687,415,942 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 60/687, 99/415, 261/942

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 60/687, 99/415, 261/942?

Answer: LCM of Numerators as per given numbers 60/687, 99/415, 261/942 is

LCM of Numerators i.e. for 60,99,261 is 57420

GCF of denominators i.e. for 687,415,942 is 1.

Thus, LCM of Fractions is 57420.Finally, LCM of Fractions for 60/687, 99/415, 261/942 is 57420.