Least Common Multiple of 59/398, 82/317, 292/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/398, 82/317, 292/398 quickly i.e. 706348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/398, 82/317, 292/398 is 706348.

LCM(59/398, 82/317, 292/398) = 706348

LCM of 59/398, 82/317, 292/398

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 59/398,82/317,292/398

Given numbers are 59/398,82/317,292/398

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 59,82,292

Least Common Multiple of Numerators i.e. LCM of 59,82,292 is 706348.

GCF of Denominators means GCF of 398,317,398 as per the given fractions.

GCF of 398,317,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,82,292

LCM of Fractions 59/398,82/317,292/398 is 706348

2 59, 82, 292
59, 41, 146

∴ So the LCM of the given numbers is 2 x 59 x 41 x 146 = 706348

Least Common Multiple of 59,82,292 with GCF Formula

Least Common Multiple of 59,82,292 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 59,82,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,82,292) = 1

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

GCF(59,82,292) x common factors =1 x 2 = 2

LCM(59,82,292) = ( 59 × 82 × 292 ) / 2

LCM(59,82,292) = 1412696 / 2

LCM(59,82,292) = 706348


Lets's calculate GCF of 398,317,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706348/1

Therefore the LCM of Fractions 59/398,82/317,292/398 is 706348

Greatest Common Factor of 398,317,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,317,398 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 317

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

1,317

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 398,317,398 . The biggest common factor number is the GCF number.
So the greatest common factor 398,317,398 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 59/398, 82/317, 292/398

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 59/398, 82/317, 292/398?

Answer: LCM of Numerators as per given numbers 59/398, 82/317, 292/398 is

LCM of Numerators i.e. for 59,82,292 is 706348

GCF of denominators i.e. for 398,317,398 is 1.

Thus, LCM of Fractions is 706348.Finally, LCM of Fractions for 59/398, 82/317, 292/398 is 706348.