Least Common Multiple of 395/198, 617/958, 115/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/198, 617/958, 115/482 quickly i.e. 5605445/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/198, 617/958, 115/482 is 5605445/2.

LCM(395/198, 617/958, 115/482) = 5605445/2

LCM of 395/198, 617/958, 115/482

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 395/198,617/958,115/482

Given numbers are 395/198,617/958,115/482

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 395,617,115

Least Common Multiple of Numerators i.e. LCM of 395,617,115 is 5605445.

GCF of Denominators means GCF of 198,958,482 as per the given fractions.

GCF of 198,958,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,617,115

LCM of Fractions 395/198,617/958,115/482 is 5605445/2

5 395, 617, 115
79, 617, 23

∴ So the LCM of the given numbers is 5 x 79 x 617 x 23 = 5605445

Least Common Multiple of 395,617,115 with GCF Formula

Least Common Multiple of 395,617,115 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 395,617,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,617,115) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(395,617,115) x common factors =1 x 5 = 5

LCM(395,617,115) = ( 395 × 617 × 115 ) / 5

LCM(395,617,115) = 28027225 / 5

LCM(395,617,115) = 5605445


Lets's calculate GCF of 198,958,482

2 198, 958, 482
99, 479, 241

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5605445/2

Therefore the LCM of Fractions 395/198,617/958,115/482 is 5605445/2

Greatest Common Factor of 198,958,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,958,482 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 198,958,482 . The biggest common factor number is the GCF number.
So the greatest common factor 198,958,482 is 2.


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 395/198, 617/958, 115/482

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 395/198, 617/958, 115/482?

Answer: LCM of Numerators as per given numbers 395/198, 617/958, 115/482 is

LCM of Numerators i.e. for 395,617,115 is 5605445

GCF of denominators i.e. for 198,958,482 is 2.

Thus, LCM of Fractions is 5605445/2.Finally, LCM of Fractions for 395/198, 617/958, 115/482 is 5605445/2.