Least Common Multiple of 84/394, 31/296, 418/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/394, 31/296, 418/559 quickly i.e. 544236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/394, 31/296, 418/559 is 544236.

LCM(84/394, 31/296, 418/559) = 544236

LCM of 84/394, 31/296, 418/559

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 84/394,31/296,418/559

Given numbers are 84/394,31/296,418/559

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 84,31,418

Least Common Multiple of Numerators i.e. LCM of 84,31,418 is 544236.

GCF of Denominators means GCF of 394,296,559 as per the given fractions.

GCF of 394,296,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,31,418

LCM of Fractions 84/394,31/296,418/559 is 544236

2 84, 31, 418
42, 31, 209

∴ So the LCM of the given numbers is 2 x 42 x 31 x 209 = 544236

Least Common Multiple of 84,31,418 with GCF Formula

Least Common Multiple of 84,31,418 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 84,31,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,418) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,31,418) x common factors =1 x 2 = 2

LCM(84,31,418) = ( 84 × 31 × 418 ) / 2

LCM(84,31,418) = 1088472 / 2

LCM(84,31,418) = 544236


Lets's calculate GCF of 394,296,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544236/1

Therefore the LCM of Fractions 84/394,31/296,418/559 is 544236

Greatest Common Factor of 394,296,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,296,559 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 394,296,559 . The biggest common factor number is the GCF number.
So the greatest common factor 394,296,559 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 84/394, 31/296, 418/559

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 84/394, 31/296, 418/559?

Answer: LCM of Numerators as per given numbers 84/394, 31/296, 418/559 is

LCM of Numerators i.e. for 84,31,418 is 544236

GCF of denominators i.e. for 394,296,559 is 1.

Thus, LCM of Fractions is 544236.Finally, LCM of Fractions for 84/394, 31/296, 418/559 is 544236.