Least Common Multiple of 54/24, 641/38, 966/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/24, 641/38, 966/422 quickly i.e. 2786427 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/24, 641/38, 966/422 is 2786427.

LCM(54/24, 641/38, 966/422) = 2786427

LCM of 54/24, 641/38, 966/422

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 54/24,641/38,966/422

Given numbers are 54/24,641/38,966/422

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 54,641,966

Least Common Multiple of Numerators i.e. LCM of 54,641,966 is 5572854.

GCF of Denominators means GCF of 24,38,422 as per the given fractions.

GCF of 24,38,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,641,966

LCM of Fractions 54/24,641/38,966/422 is 2786427

2 54, 641, 966
3 27, 641, 483
9, 641, 161

∴ So the LCM of the given numbers is 2 x 3 x 9 x 641 x 161 = 5572854

Least Common Multiple of 54,641,966 with GCF Formula

Least Common Multiple of 54,641,966 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 54,641,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,641,966) = 1

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

GCF(54,641,966) x common factors =1 x 6 = 6

LCM(54,641,966) = ( 54 × 641 × 966 ) / 6

LCM(54,641,966) = 33437124 / 6

LCM(54,641,966) = 5572854


Lets's calculate GCF of 24,38,422

2 24, 38, 422
12, 19, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5572854/2

Therefore the LCM of Fractions 54/24,641/38,966/422 is 2786427

Greatest Common Factor of 24,38,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,38,422 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 24,38,422 . The biggest common factor number is the GCF number.
So the greatest common factor 24,38,422 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 54/24, 641/38, 966/422

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 54/24, 641/38, 966/422?

Answer: LCM of Numerators as per given numbers 54/24, 641/38, 966/422 is

LCM of Numerators i.e. for 54,641,966 is 5572854

GCF of denominators i.e. for 24,38,422 is 2.

Thus, LCM of Fractions is 2786427.Finally, LCM of Fractions for 54/24, 641/38, 966/422 is 2786427.