Least Common Multiple of 5877/198, 6759/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5877/198, 6759/800 quickly i.e. 4413627/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5877/198, 6759/800 is 4413627/2.

LCM(5877/198, 6759/800) = 4413627/2

LCM of 5877/198, 6759/800

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 5877/198,6759/800

Given numbers are 5877/198,6759/800

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 5877,6759

Least Common Multiple of Numerators i.e. LCM of 5877,6759 is 4413627.

GCF of Denominators means GCF of 198,800 as per the given fractions.

GCF of 198,800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5877,6759

LCM of Fractions 5877/198,6759/800 is 4413627/2

3 5877, 6759
3 1959, 2253
653, 751

∴ So the LCM of the given numbers is 3 x 3 x 653 x 751 = 4413627

Least Common Multiple of 5877,6759 with GCF Formula

Least Common Multiple of 5877,6759 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 5877,6759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5877,6759) = 9

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

GCF(5877,6759) x common factors =9 x 1 = 9

LCM(5877,6759) = ( 5877 × 6759 ) / 9

LCM(5877,6759) = 39722643 / 9

LCM(5877,6759) = 4413627


Lets's calculate GCF of 198,800

2 198, 800
99, 400

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4413627/2

Therefore the LCM of Fractions 5877/198,6759/800 is 4413627/2

Greatest Common Factor of 198,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,800 By Matching Biggest Common Factor Method

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

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 198,800 . The biggest common factor number is the GCF number.
So the greatest common factor 198,800 is 2.


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 5877/198, 6759/800

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 5877/198, 6759/800?

Answer: LCM of Numerators as per given numbers 5877/198, 6759/800 is

LCM of Numerators i.e. for 5877,6759 is 4413627

GCF of denominators i.e. for 198,800 is 2.

Thus, LCM of Fractions is 4413627/2.Finally, LCM of Fractions for 5877/198, 6759/800 is 4413627/2.