Least Common Multiple of 815/91, 538/89, 610/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/91, 538/89, 610/229 quickly i.e. 26746670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/91, 538/89, 610/229 is 26746670.

LCM(815/91, 538/89, 610/229) = 26746670

LCM of 815/91, 538/89, 610/229

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 815/91,538/89,610/229

Given numbers are 815/91,538/89,610/229

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 815,538,610

Least Common Multiple of Numerators i.e. LCM of 815,538,610 is 26746670.

GCF of Denominators means GCF of 91,89,229 as per the given fractions.

GCF of 91,89,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,538,610

LCM of Fractions 815/91,538/89,610/229 is 26746670

2 815, 538, 610
5 815, 269, 305
163, 269, 61

∴ So the LCM of the given numbers is 2 x 5 x 163 x 269 x 61 = 26746670

Least Common Multiple of 815,538,610 with GCF Formula

Least Common Multiple of 815,538,610 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 815,538,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,538,610) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(815,538,610) x common factors =1 x 10 = 10

LCM(815,538,610) = ( 815 × 538 × 610 ) / 10

LCM(815,538,610) = 267466700 / 10

LCM(815,538,610) = 26746670


Lets's calculate GCF of 91,89,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26746670/1

Therefore the LCM of Fractions 815/91,538/89,610/229 is 26746670

Greatest Common Factor of 91,89,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,89,229 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 91,89,229 . The biggest common factor number is the GCF number.
So the greatest common factor 91,89,229 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 815/91, 538/89, 610/229

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 815/91, 538/89, 610/229?

Answer: LCM of Numerators as per given numbers 815/91, 538/89, 610/229 is

LCM of Numerators i.e. for 815,538,610 is 26746670

GCF of denominators i.e. for 91,89,229 is 1.

Thus, LCM of Fractions is 26746670.Finally, LCM of Fractions for 815/91, 538/89, 610/229 is 26746670.