Least Common Multiple of 13/367, 43/440, 712/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/367, 43/440, 712/442 quickly i.e. 398008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/367, 43/440, 712/442 is 398008.

LCM(13/367, 43/440, 712/442) = 398008

LCM of 13/367, 43/440, 712/442

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 13/367,43/440,712/442

Given numbers are 13/367,43/440,712/442

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 13,43,712

Least Common Multiple of Numerators i.e. LCM of 13,43,712 is 398008.

GCF of Denominators means GCF of 367,440,442 as per the given fractions.

GCF of 367,440,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,43,712

LCM of Fractions 13/367,43/440,712/442 is 398008

Given numbers has no common factors except 1. So, there LCM is their product i.e 398008

Least Common Multiple of 13,43,712 with GCF Formula

Least Common Multiple of 13,43,712 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 13,43,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,43,712) = 1

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

GCF(13,43,712) x common factors =1 x 1 = 1

LCM(13,43,712) = ( 13 × 43 × 712 ) / 1

LCM(13,43,712) = 398008 / 1

LCM(13,43,712) = 398008


Lets's calculate GCF of 367,440,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398008/1

Therefore the LCM of Fractions 13/367,43/440,712/442 is 398008

Greatest Common Factor of 367,440,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,440,442 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 367,440,442 . The biggest common factor number is the GCF number.
So the greatest common factor 367,440,442 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/367, 43/440, 712/442

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 13/367, 43/440, 712/442?

Answer: LCM of Numerators as per given numbers 13/367, 43/440, 712/442 is

LCM of Numerators i.e. for 13,43,712 is 398008

GCF of denominators i.e. for 367,440,442 is 1.

Thus, LCM of Fractions is 398008.Finally, LCM of Fractions for 13/367, 43/440, 712/442 is 398008.