Least Common Multiple of 982/81, 951/44, 117/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/81, 951/44, 117/960 quickly i.e. 36421398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/81, 951/44, 117/960 is 36421398.

LCM(982/81, 951/44, 117/960) = 36421398

LCM of 982/81, 951/44, 117/960

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 982/81,951/44,117/960

Given numbers are 982/81,951/44,117/960

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 982,951,117

Least Common Multiple of Numerators i.e. LCM of 982,951,117 is 36421398.

GCF of Denominators means GCF of 81,44,960 as per the given fractions.

GCF of 81,44,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,951,117

LCM of Fractions 982/81,951/44,117/960 is 36421398

3 982, 951, 117
982, 317, 39

∴ So the LCM of the given numbers is 3 x 982 x 317 x 39 = 36421398

Least Common Multiple of 982,951,117 with GCF Formula

Least Common Multiple of 982,951,117 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 982,951,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,951,117) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(982,951,117) x common factors =1 x 3 = 3

LCM(982,951,117) = ( 982 × 951 × 117 ) / 3

LCM(982,951,117) = 109264194 / 3

LCM(982,951,117) = 36421398


Lets's calculate GCF of 81,44,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36421398/1

Therefore the LCM of Fractions 982/81,951/44,117/960 is 36421398

Greatest Common Factor of 81,44,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,44,960 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 44

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

1,2,4,11,22,44

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 81,44,960 . The biggest common factor number is the GCF number.
So the greatest common factor 81,44,960 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 982/81, 951/44, 117/960

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 982/81, 951/44, 117/960?

Answer: LCM of Numerators as per given numbers 982/81, 951/44, 117/960 is

LCM of Numerators i.e. for 982,951,117 is 36421398

GCF of denominators i.e. for 81,44,960 is 1.

Thus, LCM of Fractions is 36421398.Finally, LCM of Fractions for 982/81, 951/44, 117/960 is 36421398.