Least Common Multiple of 3/21, 68/318, 89/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/21, 68/318, 89/168 quickly i.e. 6052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/21, 68/318, 89/168 is 6052.

LCM(3/21, 68/318, 89/168) = 6052

LCM of 3/21, 68/318, 89/168

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 3/21,68/318,89/168

Given numbers are 3/21,68/318,89/168

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 3,68,89

Least Common Multiple of Numerators i.e. LCM of 3,68,89 is 18156.

GCF of Denominators means GCF of 21,318,168 as per the given fractions.

GCF of 21,318,168 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,68,89

LCM of Fractions 3/21,68/318,89/168 is 6052

Given numbers has no common factors except 1. So, there LCM is their product i.e 18156

Least Common Multiple of 3,68,89 with GCF Formula

Least Common Multiple of 3,68,89 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 3,68,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,68,89) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3,68,89) x common factors =1 x 1 = 1

LCM(3,68,89) = ( 3 × 68 × 89 ) / 1

LCM(3,68,89) = 18156 / 1

LCM(3,68,89) = 18156


Lets's calculate GCF of 21,318,168

3 21, 318, 168
7, 106, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18156/3

Therefore the LCM of Fractions 3/21,68/318,89/168 is 6052

Greatest Common Factor of 21,318,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,318,168 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 21,318,168 . The biggest common factor number is the GCF number.
So the greatest common factor 21,318,168 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 3/21, 68/318, 89/168

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 3/21, 68/318, 89/168?

Answer: LCM of Numerators as per given numbers 3/21, 68/318, 89/168 is

LCM of Numerators i.e. for 3,68,89 is 18156

GCF of denominators i.e. for 21,318,168 is 3.

Thus, LCM of Fractions is 6052.Finally, LCM of Fractions for 3/21, 68/318, 89/168 is 6052.