Least Common Multiple of 60/516, 71/289, 118/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/516, 71/289, 118/659 quickly i.e. 251340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/516, 71/289, 118/659 is 251340.

LCM(60/516, 71/289, 118/659) = 251340

LCM of 60/516, 71/289, 118/659

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 60/516,71/289,118/659

Given numbers are 60/516,71/289,118/659

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 60,71,118

Least Common Multiple of Numerators i.e. LCM of 60,71,118 is 251340.

GCF of Denominators means GCF of 516,289,659 as per the given fractions.

GCF of 516,289,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,71,118

LCM of Fractions 60/516,71/289,118/659 is 251340

2 60, 71, 118
30, 71, 59

∴ So the LCM of the given numbers is 2 x 30 x 71 x 59 = 251340

Least Common Multiple of 60,71,118 with GCF Formula

Least Common Multiple of 60,71,118 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 60,71,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,71,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(60,71,118) x common factors =1 x 2 = 2

LCM(60,71,118) = ( 60 × 71 × 118 ) / 2

LCM(60,71,118) = 502680 / 2

LCM(60,71,118) = 251340


Lets's calculate GCF of 516,289,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251340/1

Therefore the LCM of Fractions 60/516,71/289,118/659 is 251340

Greatest Common Factor of 516,289,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,289,659 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 516,289,659 . The biggest common factor number is the GCF number.
So the greatest common factor 516,289,659 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 60/516, 71/289, 118/659

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 60/516, 71/289, 118/659?

Answer: LCM of Numerators as per given numbers 60/516, 71/289, 118/659 is

LCM of Numerators i.e. for 60,71,118 is 251340

GCF of denominators i.e. for 516,289,659 is 1.

Thus, LCM of Fractions is 251340.Finally, LCM of Fractions for 60/516, 71/289, 118/659 is 251340.