Least Common Multiple of 507/31, 784/73, 711/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/31, 784/73, 711/94 quickly i.e. 94204656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/31, 784/73, 711/94 is 94204656.

LCM(507/31, 784/73, 711/94) = 94204656

LCM of 507/31, 784/73, 711/94

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 507/31,784/73,711/94

Given numbers are 507/31,784/73,711/94

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 507,784,711

Least Common Multiple of Numerators i.e. LCM of 507,784,711 is 94204656.

GCF of Denominators means GCF of 31,73,94 as per the given fractions.

GCF of 31,73,94 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,784,711

LCM of Fractions 507/31,784/73,711/94 is 94204656

3 507, 784, 711
169, 784, 237

∴ So the LCM of the given numbers is 3 x 169 x 784 x 237 = 94204656

Least Common Multiple of 507,784,711 with GCF Formula

Least Common Multiple of 507,784,711 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 507,784,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,784,711) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(507,784,711) x common factors =1 x 3 = 3

LCM(507,784,711) = ( 507 × 784 × 711 ) / 3

LCM(507,784,711) = 282613968 / 3

LCM(507,784,711) = 94204656


Lets's calculate GCF of 31,73,94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94204656/1

Therefore the LCM of Fractions 507/31,784/73,711/94 is 94204656

Greatest Common Factor of 31,73,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,73,94 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 31,73,94 . The biggest common factor number is the GCF number.
So the greatest common factor 31,73,94 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 507/31, 784/73, 711/94

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 507/31, 784/73, 711/94?

Answer: LCM of Numerators as per given numbers 507/31, 784/73, 711/94 is

LCM of Numerators i.e. for 507,784,711 is 94204656

GCF of denominators i.e. for 31,73,94 is 1.

Thus, LCM of Fractions is 94204656.Finally, LCM of Fractions for 507/31, 784/73, 711/94 is 94204656.