Least Common Multiple of 1655/580, 3636/5763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1655/580, 3636/5763 quickly i.e. 6017580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1655/580, 3636/5763 is 6017580.

LCM(1655/580, 3636/5763) = 6017580

LCM of 1655/580, 3636/5763

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 1655/580,3636/5763

Given numbers are 1655/580,3636/5763

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 1655,3636

Least Common Multiple of Numerators i.e. LCM of 1655,3636 is 6017580.

GCF of Denominators means GCF of 580,5763 as per the given fractions.

GCF of 580,5763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1655,3636

LCM of Fractions 1655/580,3636/5763 is 6017580

Given numbers has no common factors except 1. So, there LCM is their product i.e 6017580

Least Common Multiple of 1655,3636 with GCF Formula

Least Common Multiple of 1655,3636 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 1655,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1655,3636) = 1

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

GCF(1655,3636) x common factors =1 x 1 = 1

LCM(1655,3636) = ( 1655 × 3636 ) / 1

LCM(1655,3636) = 6017580 / 1

LCM(1655,3636) = 6017580


Lets's calculate GCF of 580,5763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6017580/1

Therefore the LCM of Fractions 1655/580,3636/5763 is 6017580

Greatest Common Factor of 580,5763 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,5763 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 5763

List of positive integer factors of 5763 that divides 5763 without a remainder.

1,3,17,51,113,339,1921,5763

Greatest Common Factor

We found the factors 580,5763 . The biggest common factor number is the GCF number.
So the greatest common factor 580,5763 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1655/580, 3636/5763

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 1655/580, 3636/5763?

Answer: LCM of Numerators as per given numbers 1655/580, 3636/5763 is

LCM of Numerators i.e. for 1655,3636 is 6017580

GCF of denominators i.e. for 580,5763 is 1.

Thus, LCM of Fractions is 6017580.Finally, LCM of Fractions for 1655/580, 3636/5763 is 6017580.