Least Common Multiple of 9/346, 31/608, 40/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/346, 31/608, 40/255 quickly i.e. 11160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/346, 31/608, 40/255 is 11160.

LCM(9/346, 31/608, 40/255) = 11160

LCM of 9/346, 31/608, 40/255

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 9/346,31/608,40/255

Given numbers are 9/346,31/608,40/255

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 9,31,40

Least Common Multiple of Numerators i.e. LCM of 9,31,40 is 11160.

GCF of Denominators means GCF of 346,608,255 as per the given fractions.

GCF of 346,608,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,31,40

LCM of Fractions 9/346,31/608,40/255 is 11160

Given numbers has no common factors except 1. So, there LCM is their product i.e 11160

Least Common Multiple of 9,31,40 with GCF Formula

Least Common Multiple of 9,31,40 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 9,31,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,31,40) = 1

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

GCF(9,31,40) x common factors =1 x 1 = 1

LCM(9,31,40) = ( 9 × 31 × 40 ) / 1

LCM(9,31,40) = 11160 / 1

LCM(9,31,40) = 11160


Lets's calculate GCF of 346,608,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11160/1

Therefore the LCM of Fractions 9/346,31/608,40/255 is 11160

Greatest Common Factor of 346,608,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,608,255 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

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 346,608,255 . The biggest common factor number is the GCF number.
So the greatest common factor 346,608,255 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 9/346, 31/608, 40/255

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 9/346, 31/608, 40/255?

Answer: LCM of Numerators as per given numbers 9/346, 31/608, 40/255 is

LCM of Numerators i.e. for 9,31,40 is 11160

GCF of denominators i.e. for 346,608,255 is 1.

Thus, LCM of Fractions is 11160.Finally, LCM of Fractions for 9/346, 31/608, 40/255 is 11160.