Least Common Multiple of 17/479, 417/431, 103/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/479, 417/431, 103/742 quickly i.e. 730167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/479, 417/431, 103/742 is 730167.

LCM(17/479, 417/431, 103/742) = 730167

LCM of 17/479, 417/431, 103/742

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 17/479,417/431,103/742

Given numbers are 17/479,417/431,103/742

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 17,417,103

Least Common Multiple of Numerators i.e. LCM of 17,417,103 is 730167.

GCF of Denominators means GCF of 479,431,742 as per the given fractions.

GCF of 479,431,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,417,103

LCM of Fractions 17/479,417/431,103/742 is 730167

Given numbers has no common factors except 1. So, there LCM is their product i.e 730167

Least Common Multiple of 17,417,103 with GCF Formula

Least Common Multiple of 17,417,103 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 17,417,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,417,103) = 1

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

GCF(17,417,103) x common factors =1 x 1 = 1

LCM(17,417,103) = ( 17 × 417 × 103 ) / 1

LCM(17,417,103) = 730167 / 1

LCM(17,417,103) = 730167


Lets's calculate GCF of 479,431,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730167/1

Therefore the LCM of Fractions 17/479,417/431,103/742 is 730167

Greatest Common Factor of 479,431,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,431,742 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 479,431,742 . The biggest common factor number is the GCF number.
So the greatest common factor 479,431,742 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 17/479, 417/431, 103/742

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 17/479, 417/431, 103/742?

Answer: LCM of Numerators as per given numbers 17/479, 417/431, 103/742 is

LCM of Numerators i.e. for 17,417,103 is 730167

GCF of denominators i.e. for 479,431,742 is 1.

Thus, LCM of Fractions is 730167.Finally, LCM of Fractions for 17/479, 417/431, 103/742 is 730167.