Least Common Multiple of 8591/180, 2655/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8591/180, 2655/240 quickly i.e. 22809105/60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8591/180, 2655/240 is 22809105/60.

LCM(8591/180, 2655/240) = 22809105/60

LCM of 8591/180, 2655/240

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 8591/180,2655/240

Given numbers are 8591/180,2655/240

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 8591,2655

Least Common Multiple of Numerators i.e. LCM of 8591,2655 is 22809105.

GCF of Denominators means GCF of 180,240 as per the given fractions.

GCF of 180,240 is 60 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8591,2655

LCM of Fractions 8591/180,2655/240 is 22809105/60

Given numbers has no common factors except 1. So, there LCM is their product i.e 22809105

Least Common Multiple of 8591,2655 with GCF Formula

Least Common Multiple of 8591,2655 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 8591,2655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8591,2655) = 1

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

GCF(8591,2655) x common factors =1 x 1 = 1

LCM(8591,2655) = ( 8591 × 2655 ) / 1

LCM(8591,2655) = 22809105 / 1

LCM(8591,2655) = 22809105


Lets's calculate GCF of 180,240

2 180, 240
2 90, 120
3 45, 60
5 15, 20
3, 4

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22809105/60

Therefore the LCM of Fractions 8591/180,2655/240 is 22809105/60

Greatest Common Factor of 180,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,240 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 180,240 . The biggest common factor number is the GCF number.
So the greatest common factor 180,240 is 60.


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 8591/180, 2655/240

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 8591/180, 2655/240?

Answer: LCM of Numerators as per given numbers 8591/180, 2655/240 is

LCM of Numerators i.e. for 8591,2655 is 22809105

GCF of denominators i.e. for 180,240 is 60.

Thus, LCM of Fractions is 22809105/60.Finally, LCM of Fractions for 8591/180, 2655/240 is 22809105/60.