Least Common Multiple of 516/268, 601/132, 119/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/268, 601/132, 119/790 quickly i.e. 18451902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/268, 601/132, 119/790 is 18451902.

LCM(516/268, 601/132, 119/790) = 18451902

LCM of 516/268, 601/132, 119/790

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 516/268,601/132,119/790

Given numbers are 516/268,601/132,119/790

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 516,601,119

Least Common Multiple of Numerators i.e. LCM of 516,601,119 is 36903804.

GCF of Denominators means GCF of 268,132,790 as per the given fractions.

GCF of 268,132,790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,601,119

LCM of Fractions 516/268,601/132,119/790 is 18451902

Given numbers has no common factors except 1. So, there LCM is their product i.e 36903804

Least Common Multiple of 516,601,119 with GCF Formula

Least Common Multiple of 516,601,119 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 516,601,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,601,119) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(516,601,119) x common factors =1 x 1 = 1

LCM(516,601,119) = ( 516 × 601 × 119 ) / 1

LCM(516,601,119) = 36903804 / 1

LCM(516,601,119) = 36903804


Lets's calculate GCF of 268,132,790

2 268, 132, 790
134, 66, 395

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36903804/2

Therefore the LCM of Fractions 516/268,601/132,119/790 is 18451902

Greatest Common Factor of 268,132,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,132,790 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 268,132,790 . The biggest common factor number is the GCF number.
So the greatest common factor 268,132,790 is 2.


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 516/268, 601/132, 119/790

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 516/268, 601/132, 119/790?

Answer: LCM of Numerators as per given numbers 516/268, 601/132, 119/790 is

LCM of Numerators i.e. for 516,601,119 is 36903804

GCF of denominators i.e. for 268,132,790 is 2.

Thus, LCM of Fractions is 18451902.Finally, LCM of Fractions for 516/268, 601/132, 119/790 is 18451902.