Least Common Multiple of 5041/102, 7560/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5041/102, 7560/113 quickly i.e. 38109960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5041/102, 7560/113 is 38109960.

LCM(5041/102, 7560/113) = 38109960

LCM of 5041/102, 7560/113

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 5041/102,7560/113

Given numbers are 5041/102,7560/113

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 5041,7560

Least Common Multiple of Numerators i.e. LCM of 5041,7560 is 38109960.

GCF of Denominators means GCF of 102,113 as per the given fractions.

GCF of 102,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5041,7560

LCM of Fractions 5041/102,7560/113 is 38109960

Given numbers has no common factors except 1. So, there LCM is their product i.e 38109960

Least Common Multiple of 5041,7560 with GCF Formula

Least Common Multiple of 5041,7560 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 5041,7560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5041,7560) = 1

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

GCF(5041,7560) x common factors =1 x 1 = 1

LCM(5041,7560) = ( 5041 × 7560 ) / 1

LCM(5041,7560) = 38109960 / 1

LCM(5041,7560) = 38109960


Lets's calculate GCF of 102,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38109960/1

Therefore the LCM of Fractions 5041/102,7560/113 is 38109960

Greatest Common Factor of 102,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,113 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 102,113 . The biggest common factor number is the GCF number.
So the greatest common factor 102,113 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5041/102, 7560/113

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 5041/102, 7560/113?

Answer: LCM of Numerators as per given numbers 5041/102, 7560/113 is

LCM of Numerators i.e. for 5041,7560 is 38109960

GCF of denominators i.e. for 102,113 is 1.

Thus, LCM of Fractions is 38109960.Finally, LCM of Fractions for 5041/102, 7560/113 is 38109960.