Least Common Multiple of 71/75, 500/40, 819/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/75, 500/40, 819/177 quickly i.e. 29074500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/75, 500/40, 819/177 is 29074500.

LCM(71/75, 500/40, 819/177) = 29074500

LCM of 71/75, 500/40, 819/177

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 71/75,500/40,819/177

Given numbers are 71/75,500/40,819/177

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 71,500,819

Least Common Multiple of Numerators i.e. LCM of 71,500,819 is 29074500.

GCF of Denominators means GCF of 75,40,177 as per the given fractions.

GCF of 75,40,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,500,819

LCM of Fractions 71/75,500/40,819/177 is 29074500

Given numbers has no common factors except 1. So, there LCM is their product i.e 29074500

Least Common Multiple of 71,500,819 with GCF Formula

Least Common Multiple of 71,500,819 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 71,500,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,500,819) = 1

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

GCF(71,500,819) x common factors =1 x 1 = 1

LCM(71,500,819) = ( 71 × 500 × 819 ) / 1

LCM(71,500,819) = 29074500 / 1

LCM(71,500,819) = 29074500


Lets's calculate GCF of 75,40,177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29074500/1

Therefore the LCM of Fractions 71/75,500/40,819/177 is 29074500

Greatest Common Factor of 75,40,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,40,177 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 75,40,177 . The biggest common factor number is the GCF number.
So the greatest common factor 75,40,177 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 71/75, 500/40, 819/177

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 71/75, 500/40, 819/177?

Answer: LCM of Numerators as per given numbers 71/75, 500/40, 819/177 is

LCM of Numerators i.e. for 71,500,819 is 29074500

GCF of denominators i.e. for 75,40,177 is 1.

Thus, LCM of Fractions is 29074500.Finally, LCM of Fractions for 71/75, 500/40, 819/177 is 29074500.