Least Common Multiple of 67/29, 30/38, 717/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/29, 30/38, 717/31 quickly i.e. 480390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/29, 30/38, 717/31 is 480390.

LCM(67/29, 30/38, 717/31) = 480390

LCM of 67/29, 30/38, 717/31

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 67/29,30/38,717/31

Given numbers are 67/29,30/38,717/31

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 67,30,717

Least Common Multiple of Numerators i.e. LCM of 67,30,717 is 480390.

GCF of Denominators means GCF of 29,38,31 as per the given fractions.

GCF of 29,38,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,30,717

LCM of Fractions 67/29,30/38,717/31 is 480390

3 67, 30, 717
67, 10, 239

∴ So the LCM of the given numbers is 3 x 67 x 10 x 239 = 480390

Least Common Multiple of 67,30,717 with GCF Formula

Least Common Multiple of 67,30,717 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 67,30,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,30,717) = 1

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

GCF(67,30,717) x common factors =1 x 3 = 3

LCM(67,30,717) = ( 67 × 30 × 717 ) / 3

LCM(67,30,717) = 1441170 / 3

LCM(67,30,717) = 480390


Lets's calculate GCF of 29,38,31

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480390/1

Therefore the LCM of Fractions 67/29,30/38,717/31 is 480390

Greatest Common Factor of 29,38,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,38,31 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 29,38,31 . The biggest common factor number is the GCF number.
So the greatest common factor 29,38,31 is 1.


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 67/29, 30/38, 717/31

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 67/29, 30/38, 717/31?

Answer: LCM of Numerators as per given numbers 67/29, 30/38, 717/31 is

LCM of Numerators i.e. for 67,30,717 is 480390

GCF of denominators i.e. for 29,38,31 is 1.

Thus, LCM of Fractions is 480390.Finally, LCM of Fractions for 67/29, 30/38, 717/31 is 480390.