Least Common Multiple of 515/60, 940/5924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/60, 940/5924 quickly i.e. 24205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/60, 940/5924 is 24205.

LCM(515/60, 940/5924) = 24205

LCM of 515/60, 940/5924

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 515/60,940/5924

Given numbers are 515/60,940/5924

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 515,940

Least Common Multiple of Numerators i.e. LCM of 515,940 is 96820.

GCF of Denominators means GCF of 60,5924 as per the given fractions.

GCF of 60,5924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,940

LCM of Fractions 515/60,940/5924 is 24205

5 515, 940
103, 188

∴ So the LCM of the given numbers is 5 x 103 x 188 = 96820

Least Common Multiple of 515,940 with GCF Formula

Least Common Multiple of 515,940 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 515,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,940) = 5

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

GCF(515,940) x common factors =5 x 1 = 5

LCM(515,940) = ( 515 × 940 ) / 5

LCM(515,940) = 484100 / 5

LCM(515,940) = 96820


Lets's calculate GCF of 60,5924

2 60, 5924
2 30, 2962
15, 1481

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96820/4

Therefore the LCM of Fractions 515/60,940/5924 is 24205

Greatest Common Factor of 60,5924 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5924 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Greatest Common Factor

We found the factors 60,5924 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5924 is 4.


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 515/60, 940/5924

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 515/60, 940/5924?

Answer: LCM of Numerators as per given numbers 515/60, 940/5924 is

LCM of Numerators i.e. for 515,940 is 96820

GCF of denominators i.e. for 60,5924 is 4.

Thus, LCM of Fractions is 24205.Finally, LCM of Fractions for 515/60, 940/5924 is 24205.