Least Common Multiple of 75/929, 971/380, 209/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/929, 971/380, 209/711 quickly i.e. 15220425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/929, 971/380, 209/711 is 15220425.

LCM(75/929, 971/380, 209/711) = 15220425

LCM of 75/929, 971/380, 209/711

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 75/929,971/380,209/711

Given numbers are 75/929,971/380,209/711

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 75,971,209

Least Common Multiple of Numerators i.e. LCM of 75,971,209 is 15220425.

GCF of Denominators means GCF of 929,380,711 as per the given fractions.

GCF of 929,380,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,971,209

LCM of Fractions 75/929,971/380,209/711 is 15220425

Given numbers has no common factors except 1. So, there LCM is their product i.e 15220425

Least Common Multiple of 75,971,209 with GCF Formula

Least Common Multiple of 75,971,209 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 75,971,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,971,209) = 1

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

GCF(75,971,209) x common factors =1 x 1 = 1

LCM(75,971,209) = ( 75 × 971 × 209 ) / 1

LCM(75,971,209) = 15220425 / 1

LCM(75,971,209) = 15220425


Lets's calculate GCF of 929,380,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15220425/1

Therefore the LCM of Fractions 75/929,971/380,209/711 is 15220425

Greatest Common Factor of 929,380,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,380,711 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 929,380,711 . The biggest common factor number is the GCF number.
So the greatest common factor 929,380,711 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 75/929, 971/380, 209/711

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 75/929, 971/380, 209/711?

Answer: LCM of Numerators as per given numbers 75/929, 971/380, 209/711 is

LCM of Numerators i.e. for 75,971,209 is 15220425

GCF of denominators i.e. for 929,380,711 is 1.

Thus, LCM of Fractions is 15220425.Finally, LCM of Fractions for 75/929, 971/380, 209/711 is 15220425.