Least Common Multiple of 9/21, 14/78, 317/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/21, 14/78, 317/30 quickly i.e. 13314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/21, 14/78, 317/30 is 13314.

LCM(9/21, 14/78, 317/30) = 13314

LCM of 9/21, 14/78, 317/30

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 9/21,14/78,317/30

Given numbers are 9/21,14/78,317/30

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 9,14,317

Least Common Multiple of Numerators i.e. LCM of 9,14,317 is 39942.

GCF of Denominators means GCF of 21,78,30 as per the given fractions.

GCF of 21,78,30 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,14,317

LCM of Fractions 9/21,14/78,317/30 is 13314

Given numbers has no common factors except 1. So, there LCM is their product i.e 39942

Least Common Multiple of 9,14,317 with GCF Formula

Least Common Multiple of 9,14,317 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 9,14,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,14,317) = 1

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

GCF(9,14,317) x common factors =1 x 1 = 1

LCM(9,14,317) = ( 9 × 14 × 317 ) / 1

LCM(9,14,317) = 39942 / 1

LCM(9,14,317) = 39942


Lets's calculate GCF of 21,78,30

3 21, 78, 30
7, 26, 10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39942/3

Therefore the LCM of Fractions 9/21,14/78,317/30 is 13314

Greatest Common Factor of 21,78,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,78,30 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 21,78,30 . The biggest common factor number is the GCF number.
So the greatest common factor 21,78,30 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 9/21, 14/78, 317/30

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 9/21, 14/78, 317/30?

Answer: LCM of Numerators as per given numbers 9/21, 14/78, 317/30 is

LCM of Numerators i.e. for 9,14,317 is 39942

GCF of denominators i.e. for 21,78,30 is 3.

Thus, LCM of Fractions is 13314.Finally, LCM of Fractions for 9/21, 14/78, 317/30 is 13314.