Least Common Multiple of 9950/72, 4013/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9950/72, 4013/540 quickly i.e. 39929350/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9950/72, 4013/540 is 39929350/36.

LCM(9950/72, 4013/540) = 39929350/36

LCM of 9950/72, 4013/540

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 9950/72,4013/540

Given numbers are 9950/72,4013/540

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 9950,4013

Least Common Multiple of Numerators i.e. LCM of 9950,4013 is 39929350.

GCF of Denominators means GCF of 72,540 as per the given fractions.

GCF of 72,540 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9950,4013

LCM of Fractions 9950/72,4013/540 is 39929350/36

Given numbers has no common factors except 1. So, there LCM is their product i.e 39929350

Least Common Multiple of 9950,4013 with GCF Formula

Least Common Multiple of 9950,4013 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 9950,4013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9950,4013) = 1

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

GCF(9950,4013) x common factors =1 x 1 = 1

LCM(9950,4013) = ( 9950 × 4013 ) / 1

LCM(9950,4013) = 39929350 / 1

LCM(9950,4013) = 39929350


Lets's calculate GCF of 72,540

2 72, 540
2 36, 270
3 18, 135
3 6, 45
2, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39929350/36

Therefore the LCM of Fractions 9950/72,4013/540 is 39929350/36

Greatest Common Factor of 72,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,540 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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

Greatest Common Factor

We found the factors 72,540 . The biggest common factor number is the GCF number.
So the greatest common factor 72,540 is 36.


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 9950/72, 4013/540

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 9950/72, 4013/540?

Answer: LCM of Numerators as per given numbers 9950/72, 4013/540 is

LCM of Numerators i.e. for 9950,4013 is 39929350

GCF of denominators i.e. for 72,540 is 36.

Thus, LCM of Fractions is 39929350/36.Finally, LCM of Fractions for 9950/72, 4013/540 is 39929350/36.