Least Common Multiple of 510/478, 1310/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/478, 1310/811 quickly i.e. 66810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/478, 1310/811 is 66810.

LCM(510/478, 1310/811) = 66810

LCM of 510/478, 1310/811

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 510/478,1310/811

Given numbers are 510/478,1310/811

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 510,1310

Least Common Multiple of Numerators i.e. LCM of 510,1310 is 66810.

GCF of Denominators means GCF of 478,811 as per the given fractions.

GCF of 478,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,1310

LCM of Fractions 510/478,1310/811 is 66810

2 510, 1310
5 255, 655
51, 131

∴ So the LCM of the given numbers is 2 x 5 x 51 x 131 = 66810

Least Common Multiple of 510,1310 with GCF Formula

Least Common Multiple of 510,1310 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 510,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,1310) = 10

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

GCF(510,1310) x common factors =10 x 1 = 10

LCM(510,1310) = ( 510 × 1310 ) / 10

LCM(510,1310) = 668100 / 10

LCM(510,1310) = 66810


Lets's calculate GCF of 478,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66810/1

Therefore the LCM of Fractions 510/478,1310/811 is 66810

Greatest Common Factor of 478,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,811 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 478,811 . The biggest common factor number is the GCF number.
So the greatest common factor 478,811 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 510/478, 1310/811

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 510/478, 1310/811?

Answer: LCM of Numerators as per given numbers 510/478, 1310/811 is

LCM of Numerators i.e. for 510,1310 is 66810

GCF of denominators i.e. for 478,811 is 1.

Thus, LCM of Fractions is 66810.Finally, LCM of Fractions for 510/478, 1310/811 is 66810.