Least Common Multiple of 18/480, 168/432, 613/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/480, 168/432, 613/398 quickly i.e. 154476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/480, 168/432, 613/398 is 154476.

LCM(18/480, 168/432, 613/398) = 154476

LCM of 18/480, 168/432, 613/398

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 18/480,168/432,613/398

Given numbers are 18/480,168/432,613/398

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 18,168,613

Least Common Multiple of Numerators i.e. LCM of 18,168,613 is 308952.

GCF of Denominators means GCF of 480,432,398 as per the given fractions.

GCF of 480,432,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,168,613

LCM of Fractions 18/480,168/432,613/398 is 154476

2 18, 168, 613
3 9, 84, 613
3, 28, 613

∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 613 = 308952

Least Common Multiple of 18,168,613 with GCF Formula

Least Common Multiple of 18,168,613 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 18,168,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,168,613) = 1

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

GCF(18,168,613) x common factors =1 x 6 = 6

LCM(18,168,613) = ( 18 × 168 × 613 ) / 6

LCM(18,168,613) = 1853712 / 6

LCM(18,168,613) = 308952


Lets's calculate GCF of 480,432,398

2 480, 432, 398
240, 216, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308952/2

Therefore the LCM of Fractions 18/480,168/432,613/398 is 154476

Greatest Common Factor of 480,432,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,432,398 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

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 480,432,398 . The biggest common factor number is the GCF number.
So the greatest common factor 480,432,398 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 18/480, 168/432, 613/398

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 18/480, 168/432, 613/398?

Answer: LCM of Numerators as per given numbers 18/480, 168/432, 613/398 is

LCM of Numerators i.e. for 18,168,613 is 308952

GCF of denominators i.e. for 480,432,398 is 2.

Thus, LCM of Fractions is 154476.Finally, LCM of Fractions for 18/480, 168/432, 613/398 is 154476.