Least Common Multiple of 21/801, 20/105, 132/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/801, 20/105, 132/228 quickly i.e. 1540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/801, 20/105, 132/228 is 1540.

LCM(21/801, 20/105, 132/228) = 1540

LCM of 21/801, 20/105, 132/228

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 21/801,20/105,132/228

Given numbers are 21/801,20/105,132/228

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 21,20,132

Least Common Multiple of Numerators i.e. LCM of 21,20,132 is 4620.

GCF of Denominators means GCF of 801,105,228 as per the given fractions.

GCF of 801,105,228 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,20,132

LCM of Fractions 21/801,20/105,132/228 is 1540

2 21, 20, 132
2 21, 10, 66
3 21, 5, 33
7, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 11 = 4620

Least Common Multiple of 21,20,132 with GCF Formula

Least Common Multiple of 21,20,132 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 21,20,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,20,132) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(21,20,132) x common factors =1 x 12 = 12

LCM(21,20,132) = ( 21 × 20 × 132 ) / 12

LCM(21,20,132) = 55440 / 12

LCM(21,20,132) = 4620


Lets's calculate GCF of 801,105,228

3 801, 105, 228
267, 35, 76

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/3

Therefore the LCM of Fractions 21/801,20/105,132/228 is 1540

Greatest Common Factor of 801,105,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,105,228 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 801,105,228 . The biggest common factor number is the GCF number.
So the greatest common factor 801,105,228 is 3.


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 21/801, 20/105, 132/228

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 21/801, 20/105, 132/228?

Answer: LCM of Numerators as per given numbers 21/801, 20/105, 132/228 is

LCM of Numerators i.e. for 21,20,132 is 4620

GCF of denominators i.e. for 801,105,228 is 3.

Thus, LCM of Fractions is 1540.Finally, LCM of Fractions for 21/801, 20/105, 132/228 is 1540.