Least Common Multiple of 18/317, 444/943, 529/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/317, 444/943, 529/219 quickly i.e. 704628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/317, 444/943, 529/219 is 704628.

LCM(18/317, 444/943, 529/219) = 704628

LCM of 18/317, 444/943, 529/219

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 18/317,444/943,529/219

Given numbers are 18/317,444/943,529/219

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 18,444,529

Least Common Multiple of Numerators i.e. LCM of 18,444,529 is 704628.

GCF of Denominators means GCF of 317,943,219 as per the given fractions.

GCF of 317,943,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,444,529

LCM of Fractions 18/317,444/943,529/219 is 704628

2 18, 444, 529
3 9, 222, 529
3, 74, 529

∴ So the LCM of the given numbers is 2 x 3 x 3 x 74 x 529 = 704628

Least Common Multiple of 18,444,529 with GCF Formula

Least Common Multiple of 18,444,529 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 18,444,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,444,529) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,444,529) x common factors =1 x 6 = 6

LCM(18,444,529) = ( 18 × 444 × 529 ) / 6

LCM(18,444,529) = 4227768 / 6

LCM(18,444,529) = 704628


Lets's calculate GCF of 317,943,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704628/1

Therefore the LCM of Fractions 18/317,444/943,529/219 is 704628

Greatest Common Factor of 317,943,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,943,219 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 317,943,219 . The biggest common factor number is the GCF number.
So the greatest common factor 317,943,219 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 18/317, 444/943, 529/219

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 18/317, 444/943, 529/219?

Answer: LCM of Numerators as per given numbers 18/317, 444/943, 529/219 is

LCM of Numerators i.e. for 18,444,529 is 704628

GCF of denominators i.e. for 317,943,219 is 1.

Thus, LCM of Fractions is 704628.Finally, LCM of Fractions for 18/317, 444/943, 529/219 is 704628.