Least Common Multiple of 76/255, 66/343, 232/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/255, 66/343, 232/191 quickly i.e. 145464 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, 66/343, 232/191 is 145464.

LCM(76/255, 66/343, 232/191) = 145464

LCM of 76/255, 66/343, 232/191

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 76/255,66/343,232/191

Given numbers are 76/255,66/343,232/191

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 76,66,232

Least Common Multiple of Numerators i.e. LCM of 76,66,232 is 145464.

GCF of Denominators means GCF of 255,343,191 as per the given fractions.

GCF of 255,343,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,66,232

LCM of Fractions 76/255,66/343,232/191 is 145464

2 76, 66, 232
2 38, 33, 116
19, 33, 58

∴ So the LCM of the given numbers is 2 x 2 x 19 x 33 x 58 = 145464

Least Common Multiple of 76,66,232 with GCF Formula

Least Common Multiple of 76,66,232 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 76,66,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,66,232) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,66,232) x common factors =2 x 4 = 8

LCM(76,66,232) = ( 76 × 66 × 232 ) / 8

LCM(76,66,232) = 1163712 / 8

LCM(76,66,232) = 145464


Lets's calculate GCF of 255,343,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145464/1

Therefore the LCM of Fractions 76/255,66/343,232/191 is 145464

Greatest Common Factor of 255,343,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,343,191 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 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 255,343,191 . The biggest common factor number is the GCF number.
So the greatest common factor 255,343,191 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 76/255, 66/343, 232/191

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, 66/343, 232/191?

Answer: LCM of Numerators as per given numbers 76/255, 66/343, 232/191 is

LCM of Numerators i.e. for 76,66,232 is 145464

GCF of denominators i.e. for 255,343,191 is 1.

Thus, LCM of Fractions is 145464.Finally, LCM of Fractions for 76/255, 66/343, 232/191 is 145464.