Least Common Multiple of 18/580, 6541/9726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/580, 6541/9726 quickly i.e. 58869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/580, 6541/9726 is 58869.

LCM(18/580, 6541/9726) = 58869

LCM of 18/580, 6541/9726

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 18/580,6541/9726

Given numbers are 18/580,6541/9726

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 18,6541

Least Common Multiple of Numerators i.e. LCM of 18,6541 is 117738.

GCF of Denominators means GCF of 580,9726 as per the given fractions.

GCF of 580,9726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,6541

LCM of Fractions 18/580,6541/9726 is 58869

Given numbers has no common factors except 1. So, there LCM is their product i.e 117738

Least Common Multiple of 18,6541 with GCF Formula

Least Common Multiple of 18,6541 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 18,6541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,6541) = 1

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

GCF(18,6541) x common factors =1 x 1 = 1

LCM(18,6541) = ( 18 × 6541 ) / 1

LCM(18,6541) = 117738 / 1

LCM(18,6541) = 117738


Lets's calculate GCF of 580,9726

2 580, 9726
290, 4863

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117738/2

Therefore the LCM of Fractions 18/580,6541/9726 is 58869

Greatest Common Factor of 580,9726 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,9726 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1,2,3,6,1621,3242,4863,9726

Greatest Common Factor

We found the factors 580,9726 . The biggest common factor number is the GCF number.
So the greatest common factor 580,9726 is 2.


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 18/580, 6541/9726

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 18/580, 6541/9726?

Answer: LCM of Numerators as per given numbers 18/580, 6541/9726 is

LCM of Numerators i.e. for 18,6541 is 117738

GCF of denominators i.e. for 580,9726 is 2.

Thus, LCM of Fractions is 58869.Finally, LCM of Fractions for 18/580, 6541/9726 is 58869.