Least Common Multiple of 812/91, 568/71, 741/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/91, 568/71, 741/197 quickly i.e. 85440264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/91, 568/71, 741/197 is 85440264.

LCM(812/91, 568/71, 741/197) = 85440264

LCM of 812/91, 568/71, 741/197

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 812/91,568/71,741/197

Given numbers are 812/91,568/71,741/197

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 812,568,741

Least Common Multiple of Numerators i.e. LCM of 812,568,741 is 85440264.

GCF of Denominators means GCF of 91,71,197 as per the given fractions.

GCF of 91,71,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,568,741

LCM of Fractions 812/91,568/71,741/197 is 85440264

2 812, 568, 741
2 406, 284, 741
203, 142, 741

∴ So the LCM of the given numbers is 2 x 2 x 203 x 142 x 741 = 85440264

Least Common Multiple of 812,568,741 with GCF Formula

Least Common Multiple of 812,568,741 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 812,568,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,568,741) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(812,568,741) x common factors =1 x 4 = 4

LCM(812,568,741) = ( 812 × 568 × 741 ) / 4

LCM(812,568,741) = 341761056 / 4

LCM(812,568,741) = 85440264


Lets's calculate GCF of 91,71,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85440264/1

Therefore the LCM of Fractions 812/91,568/71,741/197 is 85440264

Greatest Common Factor of 91,71,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,71,197 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 91,71,197 . The biggest common factor number is the GCF number.
So the greatest common factor 91,71,197 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 812/91, 568/71, 741/197

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 812/91, 568/71, 741/197?

Answer: LCM of Numerators as per given numbers 812/91, 568/71, 741/197 is

LCM of Numerators i.e. for 812,568,741 is 85440264

GCF of denominators i.e. for 91,71,197 is 1.

Thus, LCM of Fractions is 85440264.Finally, LCM of Fractions for 812/91, 568/71, 741/197 is 85440264.