Least Common Multiple of 606/135, 368/638, 294/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 606/135, 368/638, 294/398 quickly i.e. 5463696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 606/135, 368/638, 294/398 is 5463696.

LCM(606/135, 368/638, 294/398) = 5463696

LCM of 606/135, 368/638, 294/398

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 606/135,368/638,294/398

Given numbers are 606/135,368/638,294/398

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 606,368,294

Least Common Multiple of Numerators i.e. LCM of 606,368,294 is 5463696.

GCF of Denominators means GCF of 135,638,398 as per the given fractions.

GCF of 135,638,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 606,368,294

LCM of Fractions 606/135,368/638,294/398 is 5463696

2 606, 368, 294
3 303, 184, 147
101, 184, 49

∴ So the LCM of the given numbers is 2 x 3 x 101 x 184 x 49 = 5463696

Least Common Multiple of 606,368,294 with GCF Formula

Least Common Multiple of 606,368,294 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 606,368,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,368,294) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(606,368,294) x common factors =2 x 6 = 12

LCM(606,368,294) = ( 606 × 368 × 294 ) / 12

LCM(606,368,294) = 65564352 / 12

LCM(606,368,294) = 5463696


Lets's calculate GCF of 135,638,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5463696/1

Therefore the LCM of Fractions 606/135,368/638,294/398 is 5463696

Greatest Common Factor of 135,638,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,638,398 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

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 135,638,398 . The biggest common factor number is the GCF number.
So the greatest common factor 135,638,398 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 606/135, 368/638, 294/398

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 606/135, 368/638, 294/398?

Answer: LCM of Numerators as per given numbers 606/135, 368/638, 294/398 is

LCM of Numerators i.e. for 606,368,294 is 5463696

GCF of denominators i.e. for 135,638,398 is 1.

Thus, LCM of Fractions is 5463696.Finally, LCM of Fractions for 606/135, 368/638, 294/398 is 5463696.