Least Common Multiple of 108/183, 5735/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/183, 5735/798 quickly i.e. 206460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/183, 5735/798 is 206460.

LCM(108/183, 5735/798) = 206460

LCM of 108/183, 5735/798

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 108/183,5735/798

Given numbers are 108/183,5735/798

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 108,5735

Least Common Multiple of Numerators i.e. LCM of 108,5735 is 619380.

GCF of Denominators means GCF of 183,798 as per the given fractions.

GCF of 183,798 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,5735

LCM of Fractions 108/183,5735/798 is 206460

Given numbers has no common factors except 1. So, there LCM is their product i.e 619380

Least Common Multiple of 108,5735 with GCF Formula

Least Common Multiple of 108,5735 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 108,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5735) = 1

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

GCF(108,5735) x common factors =1 x 1 = 1

LCM(108,5735) = ( 108 × 5735 ) / 1

LCM(108,5735) = 619380 / 1

LCM(108,5735) = 619380


Lets's calculate GCF of 183,798

3 183, 798
61, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619380/3

Therefore the LCM of Fractions 108/183,5735/798 is 206460

Greatest Common Factor of 183,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,798 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 183,798 . The biggest common factor number is the GCF number.
So the greatest common factor 183,798 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 108/183, 5735/798

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 108/183, 5735/798?

Answer: LCM of Numerators as per given numbers 108/183, 5735/798 is

LCM of Numerators i.e. for 108,5735 is 619380

GCF of denominators i.e. for 183,798 is 3.

Thus, LCM of Fractions is 206460.Finally, LCM of Fractions for 108/183, 5735/798 is 206460.