Least Common Multiple of 310/503, 7713/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 310/503, 7713/687 quickly i.e. 2391030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/503, 7713/687 is 2391030.

LCM(310/503, 7713/687) = 2391030

LCM of 310/503, 7713/687

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 310/503,7713/687

Given numbers are 310/503,7713/687

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 310,7713

Least Common Multiple of Numerators i.e. LCM of 310,7713 is 2391030.

GCF of Denominators means GCF of 503,687 as per the given fractions.

GCF of 503,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,7713

LCM of Fractions 310/503,7713/687 is 2391030

Given numbers has no common factors except 1. So, there LCM is their product i.e 2391030

Least Common Multiple of 310,7713 with GCF Formula

Least Common Multiple of 310,7713 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 310,7713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,7713) = 1

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

GCF(310,7713) x common factors =1 x 1 = 1

LCM(310,7713) = ( 310 × 7713 ) / 1

LCM(310,7713) = 2391030 / 1

LCM(310,7713) = 2391030


Lets's calculate GCF of 503,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2391030/1

Therefore the LCM of Fractions 310/503,7713/687 is 2391030

Greatest Common Factor of 503,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,687 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 503,687 . The biggest common factor number is the GCF number.
So the greatest common factor 503,687 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 310/503, 7713/687

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 310/503, 7713/687?

Answer: LCM of Numerators as per given numbers 310/503, 7713/687 is

LCM of Numerators i.e. for 310,7713 is 2391030

GCF of denominators i.e. for 503,687 is 1.

Thus, LCM of Fractions is 2391030.Finally, LCM of Fractions for 310/503, 7713/687 is 2391030.