Least Common Multiple of 712/615, 178/175, 606/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/615, 178/175, 606/229 quickly i.e. 215736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/615, 178/175, 606/229 is 215736.

LCM(712/615, 178/175, 606/229) = 215736

LCM of 712/615, 178/175, 606/229

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 712/615,178/175,606/229

Given numbers are 712/615,178/175,606/229

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 712,178,606

Least Common Multiple of Numerators i.e. LCM of 712,178,606 is 215736.

GCF of Denominators means GCF of 615,175,229 as per the given fractions.

GCF of 615,175,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,178,606

LCM of Fractions 712/615,178/175,606/229 is 215736

2 712, 178, 606
89 356, 89, 303
4, 1, 303

∴ So the LCM of the given numbers is 2 x 89 x 4 x 1 x 303 = 215736

Least Common Multiple of 712,178,606 with GCF Formula

Least Common Multiple of 712,178,606 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 712,178,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,178,606) = 2

common factors(in case of two or more numbers have common factors) = 178

GCF(712,178,606) x common factors =2 x 178 = 356

LCM(712,178,606) = ( 712 × 178 × 606 ) / 356

LCM(712,178,606) = 76802016 / 356

LCM(712,178,606) = 215736


Lets's calculate GCF of 615,175,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215736/1

Therefore the LCM of Fractions 712/615,178/175,606/229 is 215736

Greatest Common Factor of 615,175,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,175,229 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 615,175,229 . The biggest common factor number is the GCF number.
So the greatest common factor 615,175,229 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 712/615, 178/175, 606/229

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 712/615, 178/175, 606/229?

Answer: LCM of Numerators as per given numbers 712/615, 178/175, 606/229 is

LCM of Numerators i.e. for 712,178,606 is 215736

GCF of denominators i.e. for 615,175,229 is 1.

Thus, LCM of Fractions is 215736.Finally, LCM of Fractions for 712/615, 178/175, 606/229 is 215736.