Least Common Multiple of 21/10, 27/84, 942/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/10, 27/84, 942/828 quickly i.e. 29673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/10, 27/84, 942/828 is 29673.

LCM(21/10, 27/84, 942/828) = 29673

LCM of 21/10, 27/84, 942/828

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 21/10,27/84,942/828

Given numbers are 21/10,27/84,942/828

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 21,27,942

Least Common Multiple of Numerators i.e. LCM of 21,27,942 is 59346.

GCF of Denominators means GCF of 10,84,828 as per the given fractions.

GCF of 10,84,828 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,27,942

LCM of Fractions 21/10,27/84,942/828 is 29673

3 21, 27, 942
7, 9, 314

∴ So the LCM of the given numbers is 3 x 7 x 9 x 314 = 59346

Least Common Multiple of 21,27,942 with GCF Formula

Least Common Multiple of 21,27,942 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 21,27,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,27,942) = 3

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

GCF(21,27,942) x common factors =3 x 3 = 9

LCM(21,27,942) = ( 21 × 27 × 942 ) / 9

LCM(21,27,942) = 534114 / 9

LCM(21,27,942) = 59346


Lets's calculate GCF of 10,84,828

2 10, 84, 828
5, 42, 414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59346/2

Therefore the LCM of Fractions 21/10,27/84,942/828 is 29673

Greatest Common Factor of 10,84,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,84,828 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 10,84,828 . The biggest common factor number is the GCF number.
So the greatest common factor 10,84,828 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 21/10, 27/84, 942/828

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 21/10, 27/84, 942/828?

Answer: LCM of Numerators as per given numbers 21/10, 27/84, 942/828 is

LCM of Numerators i.e. for 21,27,942 is 59346

GCF of denominators i.e. for 10,84,828 is 2.

Thus, LCM of Fractions is 29673.Finally, LCM of Fractions for 21/10, 27/84, 942/828 is 29673.