Least Common Multiple of 27/966, 183/200, 891/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/966, 183/200, 891/422 quickly i.e. 54351/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/966, 183/200, 891/422 is 54351/2.

LCM(27/966, 183/200, 891/422) = 54351/2

LCM of 27/966, 183/200, 891/422

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 27/966,183/200,891/422

Given numbers are 27/966,183/200,891/422

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 27,183,891

Least Common Multiple of Numerators i.e. LCM of 27,183,891 is 54351.

GCF of Denominators means GCF of 966,200,422 as per the given fractions.

GCF of 966,200,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,183,891

LCM of Fractions 27/966,183/200,891/422 is 54351/2

3 27, 183, 891
3 9, 61, 297
3 3, 61, 99
1, 61, 33

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 61 x 33 = 54351

Least Common Multiple of 27,183,891 with GCF Formula

Least Common Multiple of 27,183,891 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 27,183,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,183,891) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(27,183,891) x common factors =3 x 27 = 81

LCM(27,183,891) = ( 27 × 183 × 891 ) / 81

LCM(27,183,891) = 4402431 / 81

LCM(27,183,891) = 54351


Lets's calculate GCF of 966,200,422

2 966, 200, 422
483, 100, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54351/2

Therefore the LCM of Fractions 27/966,183/200,891/422 is 54351/2

Greatest Common Factor of 966,200,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,200,422 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

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 966,200,422 . The biggest common factor number is the GCF number.
So the greatest common factor 966,200,422 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 27/966, 183/200, 891/422

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 27/966, 183/200, 891/422?

Answer: LCM of Numerators as per given numbers 27/966, 183/200, 891/422 is

LCM of Numerators i.e. for 27,183,891 is 54351

GCF of denominators i.e. for 966,200,422 is 2.

Thus, LCM of Fractions is 54351/2.Finally, LCM of Fractions for 27/966, 183/200, 891/422 is 54351/2.