Least Common Multiple of 26/60, 13/18, 37/14, 20/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/60, 13/18, 37/14, 20/389 quickly i.e. 9620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/60, 13/18, 37/14, 20/389 is 9620.

LCM(26/60, 13/18, 37/14, 20/389) = 9620

LCM of 26/60, 13/18, 37/14, 20/389

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 26/60,13/18,37/14,20/389

Given numbers are 26/60,13/18,37/14,20/389

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 26,13,37,20

Least Common Multiple of Numerators i.e. LCM of 26,13,37,20 is 9620.

GCF of Denominators means GCF of 60,18,14,389 as per the given fractions.

GCF of 60,18,14,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,13,37,20

LCM of Fractions 26/60,13/18,37/14,20/389 is 9620

2 26, 13, 37, 20
13 13, 13, 37, 10
1, 1, 37, 10

∴ So the LCM of the given numbers is 2 x 13 x 1 x 1 x 37 x 10 = 9620

Least Common Multiple of 26,13,37,20 with GCF Formula

Least Common Multiple of 26,13,37,20 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 26,13,37,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,13,37,20) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,13,37,20) x common factors =1 x 26 = 26

LCM(26,13,37,20) = ( 26 × 13 × 37 × 20 ) / 26

LCM(26,13,37,20) = 250120 / 26

LCM(26,13,37,20) = 9620


Lets's calculate GCF of 60,18,14,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9620/1

Therefore the LCM of Fractions 26/60,13/18,37/14,20/389 is 9620

Greatest Common Factor of 60,18,14,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,18,14,389 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 60,18,14,389 . The biggest common factor number is the GCF number.
So the greatest common factor 60,18,14,389 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 26/60, 13/18, 37/14, 20/389

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 26/60, 13/18, 37/14, 20/389?

Answer: LCM of Numerators as per given numbers 26/60, 13/18, 37/14, 20/389 is

LCM of Numerators i.e. for 26,13,37,20 is 9620

GCF of denominators i.e. for 60,18,14,389 is 1.

Thus, LCM of Fractions is 9620.Finally, LCM of Fractions for 26/60, 13/18, 37/14, 20/389 is 9620.