Least Common Multiple of 13/72, 14/35, 39/38, 26/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/72, 14/35, 39/38, 26/489 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/72, 14/35, 39/38, 26/489 is 546.

LCM(13/72, 14/35, 39/38, 26/489) = 546

LCM of 13/72, 14/35, 39/38, 26/489

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 13/72,14/35,39/38,26/489

Given numbers are 13/72,14/35,39/38,26/489

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 13,14,39,26

Least Common Multiple of Numerators i.e. LCM of 13,14,39,26 is 546.

GCF of Denominators means GCF of 72,35,38,489 as per the given fractions.

GCF of 72,35,38,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,14,39,26

LCM of Fractions 13/72,14/35,39/38,26/489 is 546

2 13, 14, 39, 26
13 13, 7, 39, 13
1, 7, 3, 1

∴ So the LCM of the given numbers is 2 x 13 x 1 x 7 x 3 x 1 = 546

Least Common Multiple of 13,14,39,26 with GCF Formula

Least Common Multiple of 13,14,39,26 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 13,14,39,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,14,39,26) = 1

common factors(in case of two or more numbers have common factors) = 338

GCF(13,14,39,26) x common factors =1 x 338 = 338

LCM(13,14,39,26) = ( 13 × 14 × 39 × 26 ) / 338

LCM(13,14,39,26) = 184548 / 338

LCM(13,14,39,26) = 546


Lets's calculate GCF of 72,35,38,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1

Therefore the LCM of Fractions 13/72,14/35,39/38,26/489 is 546

Greatest Common Factor of 72,35,38,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,35,38,489 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 38

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

1,2,19,38

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 72,35,38,489 . The biggest common factor number is the GCF number.
So the greatest common factor 72,35,38,489 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 13/72, 14/35, 39/38, 26/489

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 13/72, 14/35, 39/38, 26/489?

Answer: LCM of Numerators as per given numbers 13/72, 14/35, 39/38, 26/489 is

LCM of Numerators i.e. for 13,14,39,26 is 546

GCF of denominators i.e. for 72,35,38,489 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 13/72, 14/35, 39/38, 26/489 is 546.