Least Common Multiple of 596/399, 879/861, 219/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/399, 879/861, 219/442 quickly i.e. 38243532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/399, 879/861, 219/442 is 38243532.

LCM(596/399, 879/861, 219/442) = 38243532

LCM of 596/399, 879/861, 219/442

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 596/399,879/861,219/442

Given numbers are 596/399,879/861,219/442

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 596,879,219

Least Common Multiple of Numerators i.e. LCM of 596,879,219 is 38243532.

GCF of Denominators means GCF of 399,861,442 as per the given fractions.

GCF of 399,861,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,879,219

LCM of Fractions 596/399,879/861,219/442 is 38243532

3 596, 879, 219
596, 293, 73

∴ So the LCM of the given numbers is 3 x 596 x 293 x 73 = 38243532

Least Common Multiple of 596,879,219 with GCF Formula

Least Common Multiple of 596,879,219 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 596,879,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,879,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(596,879,219) x common factors =1 x 3 = 3

LCM(596,879,219) = ( 596 × 879 × 219 ) / 3

LCM(596,879,219) = 114730596 / 3

LCM(596,879,219) = 38243532


Lets's calculate GCF of 399,861,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38243532/1

Therefore the LCM of Fractions 596/399,879/861,219/442 is 38243532

Greatest Common Factor of 399,861,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,861,442 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

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 399,861,442 . The biggest common factor number is the GCF number.
So the greatest common factor 399,861,442 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 596/399, 879/861, 219/442

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 596/399, 879/861, 219/442?

Answer: LCM of Numerators as per given numbers 596/399, 879/861, 219/442 is

LCM of Numerators i.e. for 596,879,219 is 38243532

GCF of denominators i.e. for 399,861,442 is 1.

Thus, LCM of Fractions is 38243532.Finally, LCM of Fractions for 596/399, 879/861, 219/442 is 38243532.