Least Common Multiple of 255/240, 6205/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/240, 6205/279 quickly i.e. 6205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/240, 6205/279 is 6205.

LCM(255/240, 6205/279) = 6205

LCM of 255/240, 6205/279

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 255/240,6205/279

Given numbers are 255/240,6205/279

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 255,6205

Least Common Multiple of Numerators i.e. LCM of 255,6205 is 18615.

GCF of Denominators means GCF of 240,279 as per the given fractions.

GCF of 240,279 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,6205

LCM of Fractions 255/240,6205/279 is 6205

5 255, 6205
17 51, 1241
3, 73

∴ So the LCM of the given numbers is 5 x 17 x 3 x 73 = 18615

Least Common Multiple of 255,6205 with GCF Formula

Least Common Multiple of 255,6205 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 255,6205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,6205) = 85

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

GCF(255,6205) x common factors =85 x 1 = 85

LCM(255,6205) = ( 255 × 6205 ) / 85

LCM(255,6205) = 1582275 / 85

LCM(255,6205) = 18615


Lets's calculate GCF of 240,279

3 240, 279
80, 93

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18615/3

Therefore the LCM of Fractions 255/240,6205/279 is 6205

Greatest Common Factor of 240,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,279 By Matching Biggest Common Factor Method

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

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 240,279 . The biggest common factor number is the GCF number.
So the greatest common factor 240,279 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 255/240, 6205/279

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 255/240, 6205/279?

Answer: LCM of Numerators as per given numbers 255/240, 6205/279 is

LCM of Numerators i.e. for 255,6205 is 18615

GCF of denominators i.e. for 240,279 is 3.

Thus, LCM of Fractions is 6205.Finally, LCM of Fractions for 255/240, 6205/279 is 6205.