Least Common Multiple of 599/87, 291/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 599/87, 291/240 quickly i.e. 58103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 599/87, 291/240 is 58103.

LCM(599/87, 291/240) = 58103

LCM of 599/87, 291/240

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 599/87,291/240

Given numbers are 599/87,291/240

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 599,291

Least Common Multiple of Numerators i.e. LCM of 599,291 is 174309.

GCF of Denominators means GCF of 87,240 as per the given fractions.

GCF of 87,240 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 599,291

LCM of Fractions 599/87,291/240 is 58103

Given numbers has no common factors except 1. So, there LCM is their product i.e 174309

Least Common Multiple of 599,291 with GCF Formula

Least Common Multiple of 599,291 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 599,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,291) = 1

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

GCF(599,291) x common factors =1 x 1 = 1

LCM(599,291) = ( 599 × 291 ) / 1

LCM(599,291) = 174309 / 1

LCM(599,291) = 174309


Lets's calculate GCF of 87,240

3 87, 240
29, 80

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174309/3

Therefore the LCM of Fractions 599/87,291/240 is 58103

Greatest Common Factor of 87,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,240 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 87,240 . The biggest common factor number is the GCF number.
So the greatest common factor 87,240 is 3.


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 599/87, 291/240

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 599/87, 291/240?

Answer: LCM of Numerators as per given numbers 599/87, 291/240 is

LCM of Numerators i.e. for 599,291 is 174309

GCF of denominators i.e. for 87,240 is 3.

Thus, LCM of Fractions is 58103.Finally, LCM of Fractions for 599/87, 291/240 is 58103.