Least Common Multiple of 236/259, 720/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 236/259, 720/555 quickly i.e. 42480/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/259, 720/555 is 42480/37.

LCM(236/259, 720/555) = 42480/37

LCM of 236/259, 720/555

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 236/259,720/555

Given numbers are 236/259,720/555

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 236,720

Least Common Multiple of Numerators i.e. LCM of 236,720 is 42480.

GCF of Denominators means GCF of 259,555 as per the given fractions.

GCF of 259,555 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,720

LCM of Fractions 236/259,720/555 is 42480/37

2 236, 720
2 118, 360
59, 180

∴ So the LCM of the given numbers is 2 x 2 x 59 x 180 = 42480

Least Common Multiple of 236,720 with GCF Formula

Least Common Multiple of 236,720 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 236,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,720) = 4

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

GCF(236,720) x common factors =4 x 1 = 4

LCM(236,720) = ( 236 × 720 ) / 4

LCM(236,720) = 169920 / 4

LCM(236,720) = 42480


Lets's calculate GCF of 259,555

37 259, 555
7, 15

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42480/37

Therefore the LCM of Fractions 236/259,720/555 is 42480/37

Greatest Common Factor of 259,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,555 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 259,555 . The biggest common factor number is the GCF number.
So the greatest common factor 259,555 is 37.


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 236/259, 720/555

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 236/259, 720/555?

Answer: LCM of Numerators as per given numbers 236/259, 720/555 is

LCM of Numerators i.e. for 236,720 is 42480

GCF of denominators i.e. for 259,555 is 37.

Thus, LCM of Fractions is 42480/37.Finally, LCM of Fractions for 236/259, 720/555 is 42480/37.