Least Common Multiple of 76/255, 9215/4835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/255, 9215/4835 quickly i.e. 7372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/255, 9215/4835 is 7372.

LCM(76/255, 9215/4835) = 7372

LCM of 76/255, 9215/4835

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 76/255,9215/4835

Given numbers are 76/255,9215/4835

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 76,9215

Least Common Multiple of Numerators i.e. LCM of 76,9215 is 36860.

GCF of Denominators means GCF of 255,4835 as per the given fractions.

GCF of 255,4835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,9215

LCM of Fractions 76/255,9215/4835 is 7372

19 76, 9215
4, 485

∴ So the LCM of the given numbers is 19 x 4 x 485 = 36860

Least Common Multiple of 76,9215 with GCF Formula

Least Common Multiple of 76,9215 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 76,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9215) = 19

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

GCF(76,9215) x common factors =19 x 1 = 19

LCM(76,9215) = ( 76 × 9215 ) / 19

LCM(76,9215) = 700340 / 19

LCM(76,9215) = 36860


Lets's calculate GCF of 255,4835

5 255, 4835
51, 967

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36860/5

Therefore the LCM of Fractions 76/255,9215/4835 is 7372

Greatest Common Factor of 255,4835 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,4835 By Matching Biggest Common Factor Method

Factors of 255

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

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

Factors of 4835

List of positive integer factors of 4835 that divides 4835 without a remainder.

1,5,967,4835

Greatest Common Factor

We found the factors 255,4835 . The biggest common factor number is the GCF number.
So the greatest common factor 255,4835 is 5.


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 76/255, 9215/4835

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 76/255, 9215/4835?

Answer: LCM of Numerators as per given numbers 76/255, 9215/4835 is

LCM of Numerators i.e. for 76,9215 is 36860

GCF of denominators i.e. for 255,4835 is 5.

Thus, LCM of Fractions is 7372.Finally, LCM of Fractions for 76/255, 9215/4835 is 7372.