Least Common Multiple of 102/424, 5113/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/424, 5113/270 quickly i.e. 260763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/424, 5113/270 is 260763.

LCM(102/424, 5113/270) = 260763

LCM of 102/424, 5113/270

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 102/424,5113/270

Given numbers are 102/424,5113/270

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 102,5113

Least Common Multiple of Numerators i.e. LCM of 102,5113 is 521526.

GCF of Denominators means GCF of 424,270 as per the given fractions.

GCF of 424,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,5113

LCM of Fractions 102/424,5113/270 is 260763

Given numbers has no common factors except 1. So, there LCM is their product i.e 521526

Least Common Multiple of 102,5113 with GCF Formula

Least Common Multiple of 102,5113 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 102,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,5113) = 1

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

GCF(102,5113) x common factors =1 x 1 = 1

LCM(102,5113) = ( 102 × 5113 ) / 1

LCM(102,5113) = 521526 / 1

LCM(102,5113) = 521526


Lets's calculate GCF of 424,270

2 424, 270
212, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521526/2

Therefore the LCM of Fractions 102/424,5113/270 is 260763

Greatest Common Factor of 424,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,270 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 424,270 . The biggest common factor number is the GCF number.
So the greatest common factor 424,270 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 102/424, 5113/270

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 102/424, 5113/270?

Answer: LCM of Numerators as per given numbers 102/424, 5113/270 is

LCM of Numerators i.e. for 102,5113 is 521526

GCF of denominators i.e. for 424,270 is 2.

Thus, LCM of Fractions is 260763.Finally, LCM of Fractions for 102/424, 5113/270 is 260763.