Least Common Multiple of 5764/138, 5199/1791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5764/138, 5199/1791 quickly i.e. 9989012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5764/138, 5199/1791 is 9989012.

LCM(5764/138, 5199/1791) = 9989012

LCM of 5764/138, 5199/1791

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 5764/138,5199/1791

Given numbers are 5764/138,5199/1791

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 5764,5199

Least Common Multiple of Numerators i.e. LCM of 5764,5199 is 29967036.

GCF of Denominators means GCF of 138,1791 as per the given fractions.

GCF of 138,1791 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5764,5199

LCM of Fractions 5764/138,5199/1791 is 9989012

Given numbers has no common factors except 1. So, there LCM is their product i.e 29967036

Least Common Multiple of 5764,5199 with GCF Formula

Least Common Multiple of 5764,5199 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 5764,5199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5764,5199) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5764,5199) x common factors =1 x 1 = 1

LCM(5764,5199) = ( 5764 × 5199 ) / 1

LCM(5764,5199) = 29967036 / 1

LCM(5764,5199) = 29967036


Lets's calculate GCF of 138,1791

3 138, 1791
46, 597

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29967036/3

Therefore the LCM of Fractions 5764/138,5199/1791 is 9989012

Greatest Common Factor of 138,1791 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,1791 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 1791

List of positive integer factors of 1791 that divides 1791 without a remainder.

1,3,9,199,597,1791

Greatest Common Factor

We found the factors 138,1791 . The biggest common factor number is the GCF number.
So the greatest common factor 138,1791 is 3.


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 5764/138, 5199/1791

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 5764/138, 5199/1791?

Answer: LCM of Numerators as per given numbers 5764/138, 5199/1791 is

LCM of Numerators i.e. for 5764,5199 is 29967036

GCF of denominators i.e. for 138,1791 is 3.

Thus, LCM of Fractions is 9989012.Finally, LCM of Fractions for 5764/138, 5199/1791 is 9989012.