Least Common Multiple of 2215/540, 7055/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2215/540, 7055/5935 quickly i.e. 625073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2215/540, 7055/5935 is 625073.

LCM(2215/540, 7055/5935) = 625073

LCM of 2215/540, 7055/5935

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 2215/540,7055/5935

Given numbers are 2215/540,7055/5935

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 2215,7055

Least Common Multiple of Numerators i.e. LCM of 2215,7055 is 3125365.

GCF of Denominators means GCF of 540,5935 as per the given fractions.

GCF of 540,5935 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2215,7055

LCM of Fractions 2215/540,7055/5935 is 625073

5 2215, 7055
443, 1411

∴ So the LCM of the given numbers is 5 x 443 x 1411 = 3125365

Least Common Multiple of 2215,7055 with GCF Formula

Least Common Multiple of 2215,7055 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 2215,7055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2215,7055) = 5

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

GCF(2215,7055) x common factors =5 x 1 = 5

LCM(2215,7055) = ( 2215 × 7055 ) / 5

LCM(2215,7055) = 15626825 / 5

LCM(2215,7055) = 3125365


Lets's calculate GCF of 540,5935

5 540, 5935
108, 1187

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3125365/5

Therefore the LCM of Fractions 2215/540,7055/5935 is 625073

Greatest Common Factor of 540,5935 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,5935 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 5935

List of positive integer factors of 5935 that divides 5935 without a remainder.

1,5,1187,5935

Greatest Common Factor

We found the factors 540,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 540,5935 is 5.


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 2215/540, 7055/5935

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 2215/540, 7055/5935?

Answer: LCM of Numerators as per given numbers 2215/540, 7055/5935 is

LCM of Numerators i.e. for 2215,7055 is 3125365

GCF of denominators i.e. for 540,5935 is 5.

Thus, LCM of Fractions is 625073.Finally, LCM of Fractions for 2215/540, 7055/5935 is 625073.