Least Common Multiple of 367/17, 309/31, 994/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/17, 309/31, 994/448 quickly i.e. 112722582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/17, 309/31, 994/448 is 112722582.

LCM(367/17, 309/31, 994/448) = 112722582

LCM of 367/17, 309/31, 994/448

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 367/17,309/31,994/448

Given numbers are 367/17,309/31,994/448

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 367,309,994

Least Common Multiple of Numerators i.e. LCM of 367,309,994 is 112722582.

GCF of Denominators means GCF of 17,31,448 as per the given fractions.

GCF of 17,31,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,309,994

LCM of Fractions 367/17,309/31,994/448 is 112722582

Given numbers has no common factors except 1. So, there LCM is their product i.e 112722582

Least Common Multiple of 367,309,994 with GCF Formula

Least Common Multiple of 367,309,994 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 367,309,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,309,994) = 1

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

GCF(367,309,994) x common factors =1 x 1 = 1

LCM(367,309,994) = ( 367 × 309 × 994 ) / 1

LCM(367,309,994) = 112722582 / 1

LCM(367,309,994) = 112722582


Lets's calculate GCF of 17,31,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112722582/1

Therefore the LCM of Fractions 367/17,309/31,994/448 is 112722582

Greatest Common Factor of 17,31,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,31,448 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 17,31,448 . The biggest common factor number is the GCF number.
So the greatest common factor 17,31,448 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 367/17, 309/31, 994/448

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 367/17, 309/31, 994/448?

Answer: LCM of Numerators as per given numbers 367/17, 309/31, 994/448 is

LCM of Numerators i.e. for 367,309,994 is 112722582

GCF of denominators i.e. for 17,31,448 is 1.

Thus, LCM of Fractions is 112722582.Finally, LCM of Fractions for 367/17, 309/31, 994/448 is 112722582.