Least Common Multiple of 518/509, 5352/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/509, 5352/902 quickly i.e. 1386168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/509, 5352/902 is 1386168.

LCM(518/509, 5352/902) = 1386168

LCM of 518/509, 5352/902

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 518/509,5352/902

Given numbers are 518/509,5352/902

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 518,5352

Least Common Multiple of Numerators i.e. LCM of 518,5352 is 1386168.

GCF of Denominators means GCF of 509,902 as per the given fractions.

GCF of 509,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,5352

LCM of Fractions 518/509,5352/902 is 1386168

2 518, 5352
259, 2676

∴ So the LCM of the given numbers is 2 x 259 x 2676 = 1386168

Least Common Multiple of 518,5352 with GCF Formula

Least Common Multiple of 518,5352 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 518,5352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,5352) = 2

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

GCF(518,5352) x common factors =2 x 1 = 2

LCM(518,5352) = ( 518 × 5352 ) / 2

LCM(518,5352) = 2772336 / 2

LCM(518,5352) = 1386168


Lets's calculate GCF of 509,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1386168/1

Therefore the LCM of Fractions 518/509,5352/902 is 1386168

Greatest Common Factor of 509,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,902 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 509,902 . The biggest common factor number is the GCF number.
So the greatest common factor 509,902 is 1.


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 518/509, 5352/902

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 518/509, 5352/902?

Answer: LCM of Numerators as per given numbers 518/509, 5352/902 is

LCM of Numerators i.e. for 518,5352 is 1386168

GCF of denominators i.e. for 509,902 is 1.

Thus, LCM of Fractions is 1386168.Finally, LCM of Fractions for 518/509, 5352/902 is 1386168.