Least Common Multiple of 77/500, 31/315, 503/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/500, 31/315, 503/718 quickly i.e. 1200661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/500, 31/315, 503/718 is 1200661.

LCM(77/500, 31/315, 503/718) = 1200661

LCM of 77/500, 31/315, 503/718

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 77/500,31/315,503/718

Given numbers are 77/500,31/315,503/718

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 77,31,503

Least Common Multiple of Numerators i.e. LCM of 77,31,503 is 1200661.

GCF of Denominators means GCF of 500,315,718 as per the given fractions.

GCF of 500,315,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,31,503

LCM of Fractions 77/500,31/315,503/718 is 1200661

Given numbers has no common factors except 1. So, there LCM is their product i.e 1200661

Least Common Multiple of 77,31,503 with GCF Formula

Least Common Multiple of 77,31,503 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 77,31,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,31,503) = 1

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

GCF(77,31,503) x common factors =1 x 1 = 1

LCM(77,31,503) = ( 77 × 31 × 503 ) / 1

LCM(77,31,503) = 1200661 / 1

LCM(77,31,503) = 1200661


Lets's calculate GCF of 500,315,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200661/1

Therefore the LCM of Fractions 77/500,31/315,503/718 is 1200661

Greatest Common Factor of 500,315,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,315,718 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 500,315,718 . The biggest common factor number is the GCF number.
So the greatest common factor 500,315,718 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 77/500, 31/315, 503/718

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 77/500, 31/315, 503/718?

Answer: LCM of Numerators as per given numbers 77/500, 31/315, 503/718 is

LCM of Numerators i.e. for 77,31,503 is 1200661

GCF of denominators i.e. for 500,315,718 is 1.

Thus, LCM of Fractions is 1200661.Finally, LCM of Fractions for 77/500, 31/315, 503/718 is 1200661.