Least Common Multiple of 44/10, 39/82, 954/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/10, 39/82, 954/424 quickly i.e. 136422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/10, 39/82, 954/424 is 136422.

LCM(44/10, 39/82, 954/424) = 136422

LCM of 44/10, 39/82, 954/424

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 44/10,39/82,954/424

Given numbers are 44/10,39/82,954/424

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 44,39,954

Least Common Multiple of Numerators i.e. LCM of 44,39,954 is 272844.

GCF of Denominators means GCF of 10,82,424 as per the given fractions.

GCF of 10,82,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,39,954

LCM of Fractions 44/10,39/82,954/424 is 136422

2 44, 39, 954
3 22, 39, 477
22, 13, 159

∴ So the LCM of the given numbers is 2 x 3 x 22 x 13 x 159 = 272844

Least Common Multiple of 44,39,954 with GCF Formula

Least Common Multiple of 44,39,954 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 44,39,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,39,954) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,39,954) x common factors =1 x 6 = 6

LCM(44,39,954) = ( 44 × 39 × 954 ) / 6

LCM(44,39,954) = 1637064 / 6

LCM(44,39,954) = 272844


Lets's calculate GCF of 10,82,424

2 10, 82, 424
5, 41, 212

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272844/2

Therefore the LCM of Fractions 44/10,39/82,954/424 is 136422

Greatest Common Factor of 10,82,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,82,424 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 10,82,424 . The biggest common factor number is the GCF number.
So the greatest common factor 10,82,424 is 2.


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 44/10, 39/82, 954/424

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 44/10, 39/82, 954/424?

Answer: LCM of Numerators as per given numbers 44/10, 39/82, 954/424 is

LCM of Numerators i.e. for 44,39,954 is 272844

GCF of denominators i.e. for 10,82,424 is 2.

Thus, LCM of Fractions is 136422.Finally, LCM of Fractions for 44/10, 39/82, 954/424 is 136422.