Least Common Multiple of 1845/798, 3211/1083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1845/798, 3211/1083 quickly i.e. 103935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1845/798, 3211/1083 is 103935.

LCM(1845/798, 3211/1083) = 103935

LCM of 1845/798, 3211/1083

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 1845/798,3211/1083

Given numbers are 1845/798,3211/1083

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 1845,3211

Least Common Multiple of Numerators i.e. LCM of 1845,3211 is 5924295.

GCF of Denominators means GCF of 798,1083 as per the given fractions.

GCF of 798,1083 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1845,3211

LCM of Fractions 1845/798,3211/1083 is 103935

Given numbers has no common factors except 1. So, there LCM is their product i.e 5924295

Least Common Multiple of 1845,3211 with GCF Formula

Least Common Multiple of 1845,3211 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 1845,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1845,3211) = 1

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

GCF(1845,3211) x common factors =1 x 1 = 1

LCM(1845,3211) = ( 1845 × 3211 ) / 1

LCM(1845,3211) = 5924295 / 1

LCM(1845,3211) = 5924295


Lets's calculate GCF of 798,1083

3 798, 1083
19 266, 361
14, 19

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5924295/57

Therefore the LCM of Fractions 1845/798,3211/1083 is 103935

Greatest Common Factor of 798,1083 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,1083 By Matching Biggest Common Factor Method

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

Factors of 1083

List of positive integer factors of 1083 that divides 1083 without a remainder.

1,3,19,57,361,1083

Greatest Common Factor

We found the factors 798,1083 . The biggest common factor number is the GCF number.
So the greatest common factor 798,1083 is 57.


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 1845/798, 3211/1083

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 1845/798, 3211/1083?

Answer: LCM of Numerators as per given numbers 1845/798, 3211/1083 is

LCM of Numerators i.e. for 1845,3211 is 5924295

GCF of denominators i.e. for 798,1083 is 57.

Thus, LCM of Fractions is 103935.Finally, LCM of Fractions for 1845/798, 3211/1083 is 103935.