Least Common Multiple of 4083/744, 1341/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4083/744, 1341/961 quickly i.e. 1825101/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4083/744, 1341/961 is 1825101/31.

LCM(4083/744, 1341/961) = 1825101/31

LCM of 4083/744, 1341/961

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 4083/744,1341/961

Given numbers are 4083/744,1341/961

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 4083,1341

Least Common Multiple of Numerators i.e. LCM of 4083,1341 is 1825101.

GCF of Denominators means GCF of 744,961 as per the given fractions.

GCF of 744,961 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4083,1341

LCM of Fractions 4083/744,1341/961 is 1825101/31

3 4083, 1341
1361, 447

∴ So the LCM of the given numbers is 3 x 1361 x 447 = 1825101

Least Common Multiple of 4083,1341 with GCF Formula

Least Common Multiple of 4083,1341 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 4083,1341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4083,1341) = 3

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

GCF(4083,1341) x common factors =3 x 1 = 3

LCM(4083,1341) = ( 4083 × 1341 ) / 3

LCM(4083,1341) = 5475303 / 3

LCM(4083,1341) = 1825101


Lets's calculate GCF of 744,961

31 744, 961
24, 31

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1825101/31

Therefore the LCM of Fractions 4083/744,1341/961 is 1825101/31

Greatest Common Factor of 744,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,961 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 744,961 . The biggest common factor number is the GCF number.
So the greatest common factor 744,961 is 31.


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 4083/744, 1341/961

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 4083/744, 1341/961?

Answer: LCM of Numerators as per given numbers 4083/744, 1341/961 is

LCM of Numerators i.e. for 4083,1341 is 1825101

GCF of denominators i.e. for 744,961 is 31.

Thus, LCM of Fractions is 1825101/31.Finally, LCM of Fractions for 4083/744, 1341/961 is 1825101/31.