Least Common Multiple of 74/579, 742/283, 318/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/579, 742/283, 318/183 quickly i.e. 82362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/579, 742/283, 318/183 is 82362.

LCM(74/579, 742/283, 318/183) = 82362

LCM of 74/579, 742/283, 318/183

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 74/579,742/283,318/183

Given numbers are 74/579,742/283,318/183

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 74,742,318

Least Common Multiple of Numerators i.e. LCM of 74,742,318 is 82362.

GCF of Denominators means GCF of 579,283,183 as per the given fractions.

GCF of 579,283,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,742,318

LCM of Fractions 74/579,742/283,318/183 is 82362

2 74, 742, 318
53 37, 371, 159
37, 7, 3

∴ So the LCM of the given numbers is 2 x 53 x 37 x 7 x 3 = 82362

Least Common Multiple of 74,742,318 with GCF Formula

Least Common Multiple of 74,742,318 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 74,742,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,742,318) = 2

common factors(in case of two or more numbers have common factors) = 106

GCF(74,742,318) x common factors =2 x 106 = 212

LCM(74,742,318) = ( 74 × 742 × 318 ) / 212

LCM(74,742,318) = 17460744 / 212

LCM(74,742,318) = 82362


Lets's calculate GCF of 579,283,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82362/1

Therefore the LCM of Fractions 74/579,742/283,318/183 is 82362

Greatest Common Factor of 579,283,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,283,183 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 579,283,183 . The biggest common factor number is the GCF number.
So the greatest common factor 579,283,183 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 74/579, 742/283, 318/183

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 74/579, 742/283, 318/183?

Answer: LCM of Numerators as per given numbers 74/579, 742/283, 318/183 is

LCM of Numerators i.e. for 74,742,318 is 82362

GCF of denominators i.e. for 579,283,183 is 1.

Thus, LCM of Fractions is 82362.Finally, LCM of Fractions for 74/579, 742/283, 318/183 is 82362.