Least Common Multiple of 76/809, 772/76, 923/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/809, 772/76, 923/198 quickly i.e. 13538564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/809, 772/76, 923/198 is 13538564.

LCM(76/809, 772/76, 923/198) = 13538564

LCM of 76/809, 772/76, 923/198

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 76/809,772/76,923/198

Given numbers are 76/809,772/76,923/198

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 76,772,923

Least Common Multiple of Numerators i.e. LCM of 76,772,923 is 13538564.

GCF of Denominators means GCF of 809,76,198 as per the given fractions.

GCF of 809,76,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,772,923

LCM of Fractions 76/809,772/76,923/198 is 13538564

2 76, 772, 923
2 38, 386, 923
19, 193, 923

∴ So the LCM of the given numbers is 2 x 2 x 19 x 193 x 923 = 13538564

Least Common Multiple of 76,772,923 with GCF Formula

Least Common Multiple of 76,772,923 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 76,772,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,772,923) = 1

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

GCF(76,772,923) x common factors =1 x 4 = 4

LCM(76,772,923) = ( 76 × 772 × 923 ) / 4

LCM(76,772,923) = 54154256 / 4

LCM(76,772,923) = 13538564


Lets's calculate GCF of 809,76,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13538564/1

Therefore the LCM of Fractions 76/809,772/76,923/198 is 13538564

Greatest Common Factor of 809,76,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,76,198 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 809,76,198 . The biggest common factor number is the GCF number.
So the greatest common factor 809,76,198 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 76/809, 772/76, 923/198

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 76/809, 772/76, 923/198?

Answer: LCM of Numerators as per given numbers 76/809, 772/76, 923/198 is

LCM of Numerators i.e. for 76,772,923 is 13538564

GCF of denominators i.e. for 809,76,198 is 1.

Thus, LCM of Fractions is 13538564.Finally, LCM of Fractions for 76/809, 772/76, 923/198 is 13538564.