Least Common Multiple of 983/29, 481/44, 481/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 983/29, 481/44, 481/861 quickly i.e. 472823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/29, 481/44, 481/861 is 472823.

LCM(983/29, 481/44, 481/861) = 472823

LCM of 983/29, 481/44, 481/861

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 983/29,481/44,481/861

Given numbers are 983/29,481/44,481/861

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 983,481,481

Least Common Multiple of Numerators i.e. LCM of 983,481,481 is 472823.

GCF of Denominators means GCF of 29,44,861 as per the given fractions.

GCF of 29,44,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,481,481

LCM of Fractions 983/29,481/44,481/861 is 472823

13 983, 481, 481
37 983, 37, 37
983, 1, 1

∴ So the LCM of the given numbers is 13 x 37 x 983 x 1 x 1 = 472823

Least Common Multiple of 983,481,481 with GCF Formula

Least Common Multiple of 983,481,481 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 983,481,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,481,481) = 1

common factors(in case of two or more numbers have common factors) = 481

GCF(983,481,481) x common factors =1 x 481 = 481

LCM(983,481,481) = ( 983 × 481 × 481 ) / 481

LCM(983,481,481) = 227427863 / 481

LCM(983,481,481) = 472823


Lets's calculate GCF of 29,44,861

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472823/1

Therefore the LCM of Fractions 983/29,481/44,481/861 is 472823

Greatest Common Factor of 29,44,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,44,861 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 29,44,861 . The biggest common factor number is the GCF number.
So the greatest common factor 29,44,861 is 1.


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 983/29, 481/44, 481/861

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 983/29, 481/44, 481/861?

Answer: LCM of Numerators as per given numbers 983/29, 481/44, 481/861 is

LCM of Numerators i.e. for 983,481,481 is 472823

GCF of denominators i.e. for 29,44,861 is 1.

Thus, LCM of Fractions is 472823.Finally, LCM of Fractions for 983/29, 481/44, 481/861 is 472823.