Least Common Multiple of 544/82, 816/15, 188/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/82, 816/15, 188/791 quickly i.e. 76704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/82, 816/15, 188/791 is 76704.

LCM(544/82, 816/15, 188/791) = 76704

LCM of 544/82, 816/15, 188/791

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 544/82,816/15,188/791

Given numbers are 544/82,816/15,188/791

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 544,816,188

Least Common Multiple of Numerators i.e. LCM of 544,816,188 is 76704.

GCF of Denominators means GCF of 82,15,791 as per the given fractions.

GCF of 82,15,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,816,188

LCM of Fractions 544/82,816/15,188/791 is 76704

2 544, 816, 188
2 272, 408, 94
2 136, 204, 47
2 68, 102, 47
17 34, 51, 47
2, 3, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 2 x 3 x 47 = 76704

Least Common Multiple of 544,816,188 with GCF Formula

Least Common Multiple of 544,816,188 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 544,816,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,816,188) = 4

common factors(in case of two or more numbers have common factors) = 272

GCF(544,816,188) x common factors =4 x 272 = 1088

LCM(544,816,188) = ( 544 × 816 × 188 ) / 1088

LCM(544,816,188) = 83453952 / 1088

LCM(544,816,188) = 76704


Lets's calculate GCF of 82,15,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76704/1

Therefore the LCM of Fractions 544/82,816/15,188/791 is 76704

Greatest Common Factor of 82,15,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,15,791 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 791

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

1,7,113,791

Greatest Common Factor

We found the factors 82,15,791 . The biggest common factor number is the GCF number.
So the greatest common factor 82,15,791 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 544/82, 816/15, 188/791

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 544/82, 816/15, 188/791?

Answer: LCM of Numerators as per given numbers 544/82, 816/15, 188/791 is

LCM of Numerators i.e. for 544,816,188 is 76704

GCF of denominators i.e. for 82,15,791 is 1.

Thus, LCM of Fractions is 76704.Finally, LCM of Fractions for 544/82, 816/15, 188/791 is 76704.