Least Common Multiple of 6842/54, 5956/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6842/54, 5956/432 quickly i.e. 20375476/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6842/54, 5956/432 is 20375476/54.

LCM(6842/54, 5956/432) = 20375476/54

LCM of 6842/54, 5956/432

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 6842/54,5956/432

Given numbers are 6842/54,5956/432

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 6842,5956

Least Common Multiple of Numerators i.e. LCM of 6842,5956 is 20375476.

GCF of Denominators means GCF of 54,432 as per the given fractions.

GCF of 54,432 is 54 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6842,5956

LCM of Fractions 6842/54,5956/432 is 20375476/54

2 6842, 5956
3421, 2978

∴ So the LCM of the given numbers is 2 x 3421 x 2978 = 20375476

Least Common Multiple of 6842,5956 with GCF Formula

Least Common Multiple of 6842,5956 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 6842,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6842,5956) = 2

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

GCF(6842,5956) x common factors =2 x 1 = 2

LCM(6842,5956) = ( 6842 × 5956 ) / 2

LCM(6842,5956) = 40750952 / 2

LCM(6842,5956) = 20375476


Lets's calculate GCF of 54,432

2 54, 432
3 27, 216
3 9, 72
3 3, 24
1, 8

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20375476/54

Therefore the LCM of Fractions 6842/54,5956/432 is 20375476/54

Greatest Common Factor of 54,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,432 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 54,432 . The biggest common factor number is the GCF number.
So the greatest common factor 54,432 is 54.


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 6842/54, 5956/432

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 6842/54, 5956/432?

Answer: LCM of Numerators as per given numbers 6842/54, 5956/432 is

LCM of Numerators i.e. for 6842,5956 is 20375476

GCF of denominators i.e. for 54,432 is 54.

Thus, LCM of Fractions is 20375476/54.Finally, LCM of Fractions for 6842/54, 5956/432 is 20375476/54.