Least Common Multiple of 21/164, 591/222, 831/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/164, 591/222, 831/132 quickly i.e. 1145949/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/164, 591/222, 831/132 is 1145949/2.

LCM(21/164, 591/222, 831/132) = 1145949/2

LCM of 21/164, 591/222, 831/132

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 21/164,591/222,831/132

Given numbers are 21/164,591/222,831/132

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 21,591,831

Least Common Multiple of Numerators i.e. LCM of 21,591,831 is 1145949.

GCF of Denominators means GCF of 164,222,132 as per the given fractions.

GCF of 164,222,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,591,831

LCM of Fractions 21/164,591/222,831/132 is 1145949/2

3 21, 591, 831
7, 197, 277

∴ So the LCM of the given numbers is 3 x 7 x 197 x 277 = 1145949

Least Common Multiple of 21,591,831 with GCF Formula

Least Common Multiple of 21,591,831 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 21,591,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,591,831) = 3

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

GCF(21,591,831) x common factors =3 x 3 = 9

LCM(21,591,831) = ( 21 × 591 × 831 ) / 9

LCM(21,591,831) = 10313541 / 9

LCM(21,591,831) = 1145949


Lets's calculate GCF of 164,222,132

2 164, 222, 132
82, 111, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1145949/2

Therefore the LCM of Fractions 21/164,591/222,831/132 is 1145949/2

Greatest Common Factor of 164,222,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,222,132 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 164,222,132 . The biggest common factor number is the GCF number.
So the greatest common factor 164,222,132 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 21/164, 591/222, 831/132

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 21/164, 591/222, 831/132?

Answer: LCM of Numerators as per given numbers 21/164, 591/222, 831/132 is

LCM of Numerators i.e. for 21,591,831 is 1145949

GCF of denominators i.e. for 164,222,132 is 2.

Thus, LCM of Fractions is 1145949/2.Finally, LCM of Fractions for 21/164, 591/222, 831/132 is 1145949/2.