Least Common Multiple of 712/289, 833/791, 575/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/289, 833/791, 575/171 quickly i.e. 341030200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/289, 833/791, 575/171 is 341030200.

LCM(712/289, 833/791, 575/171) = 341030200

LCM of 712/289, 833/791, 575/171

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 712/289,833/791,575/171

Given numbers are 712/289,833/791,575/171

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 712,833,575

Least Common Multiple of Numerators i.e. LCM of 712,833,575 is 341030200.

GCF of Denominators means GCF of 289,791,171 as per the given fractions.

GCF of 289,791,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,833,575

LCM of Fractions 712/289,833/791,575/171 is 341030200

Given numbers has no common factors except 1. So, there LCM is their product i.e 341030200

Least Common Multiple of 712,833,575 with GCF Formula

Least Common Multiple of 712,833,575 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 712,833,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,833,575) = 1

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

GCF(712,833,575) x common factors =1 x 1 = 1

LCM(712,833,575) = ( 712 × 833 × 575 ) / 1

LCM(712,833,575) = 341030200 / 1

LCM(712,833,575) = 341030200


Lets's calculate GCF of 289,791,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341030200/1

Therefore the LCM of Fractions 712/289,833/791,575/171 is 341030200

Greatest Common Factor of 289,791,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,791,171 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 289,791,171 . The biggest common factor number is the GCF number.
So the greatest common factor 289,791,171 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 712/289, 833/791, 575/171

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 712/289, 833/791, 575/171?

Answer: LCM of Numerators as per given numbers 712/289, 833/791, 575/171 is

LCM of Numerators i.e. for 712,833,575 is 341030200

GCF of denominators i.e. for 289,791,171 is 1.

Thus, LCM of Fractions is 341030200.Finally, LCM of Fractions for 712/289, 833/791, 575/171 is 341030200.