Least Common Multiple of 239/721, 145/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/721, 145/255 quickly i.e. 34655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/721, 145/255 is 34655.

LCM(239/721, 145/255) = 34655

LCM of 239/721, 145/255

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 239/721,145/255

Given numbers are 239/721,145/255

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 239,145

Least Common Multiple of Numerators i.e. LCM of 239,145 is 34655.

GCF of Denominators means GCF of 721,255 as per the given fractions.

GCF of 721,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,145

LCM of Fractions 239/721,145/255 is 34655

Given numbers has no common factors except 1. So, there LCM is their product i.e 34655

Least Common Multiple of 239,145 with GCF Formula

Least Common Multiple of 239,145 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 239,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,145) = 1

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

GCF(239,145) x common factors =1 x 1 = 1

LCM(239,145) = ( 239 × 145 ) / 1

LCM(239,145) = 34655 / 1

LCM(239,145) = 34655


Lets's calculate GCF of 721,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34655/1

Therefore the LCM of Fractions 239/721,145/255 is 34655

Greatest Common Factor of 721,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,255 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 721,255 . The biggest common factor number is the GCF number.
So the greatest common factor 721,255 is 1.


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 239/721, 145/255

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 239/721, 145/255?

Answer: LCM of Numerators as per given numbers 239/721, 145/255 is

LCM of Numerators i.e. for 239,145 is 34655

GCF of denominators i.e. for 721,255 is 1.

Thus, LCM of Fractions is 34655.Finally, LCM of Fractions for 239/721, 145/255 is 34655.