Least Common Multiple of 71/500, 407/871, 182/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/500, 407/871, 182/767 quickly i.e. 5259254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/500, 407/871, 182/767 is 5259254.

LCM(71/500, 407/871, 182/767) = 5259254

LCM of 71/500, 407/871, 182/767

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 71/500,407/871,182/767

Given numbers are 71/500,407/871,182/767

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 71,407,182

Least Common Multiple of Numerators i.e. LCM of 71,407,182 is 5259254.

GCF of Denominators means GCF of 500,871,767 as per the given fractions.

GCF of 500,871,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,407,182

LCM of Fractions 71/500,407/871,182/767 is 5259254

Given numbers has no common factors except 1. So, there LCM is their product i.e 5259254

Least Common Multiple of 71,407,182 with GCF Formula

Least Common Multiple of 71,407,182 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 71,407,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,407,182) = 1

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

GCF(71,407,182) x common factors =1 x 1 = 1

LCM(71,407,182) = ( 71 × 407 × 182 ) / 1

LCM(71,407,182) = 5259254 / 1

LCM(71,407,182) = 5259254


Lets's calculate GCF of 500,871,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5259254/1

Therefore the LCM of Fractions 71/500,407/871,182/767 is 5259254

Greatest Common Factor of 500,871,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,871,767 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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 500,871,767 . The biggest common factor number is the GCF number.
So the greatest common factor 500,871,767 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 71/500, 407/871, 182/767

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 71/500, 407/871, 182/767?

Answer: LCM of Numerators as per given numbers 71/500, 407/871, 182/767 is

LCM of Numerators i.e. for 71,407,182 is 5259254

GCF of denominators i.e. for 500,871,767 is 1.

Thus, LCM of Fractions is 5259254.Finally, LCM of Fractions for 71/500, 407/871, 182/767 is 5259254.