Least Common Multiple of 18/394, 632/638, 108/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/394, 632/638, 108/572 quickly i.e. 8532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/394, 632/638, 108/572 is 8532.

LCM(18/394, 632/638, 108/572) = 8532

LCM of 18/394, 632/638, 108/572

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 18/394,632/638,108/572

Given numbers are 18/394,632/638,108/572

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 18,632,108

Least Common Multiple of Numerators i.e. LCM of 18,632,108 is 17064.

GCF of Denominators means GCF of 394,638,572 as per the given fractions.

GCF of 394,638,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,632,108

LCM of Fractions 18/394,632/638,108/572 is 8532

2 18, 632, 108
2 9, 316, 54
3 9, 158, 27
3 3, 158, 9
1, 158, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 158 x 3 = 17064

Least Common Multiple of 18,632,108 with GCF Formula

Least Common Multiple of 18,632,108 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 18,632,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,632,108) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(18,632,108) x common factors =2 x 36 = 72

LCM(18,632,108) = ( 18 × 632 × 108 ) / 72

LCM(18,632,108) = 1228608 / 72

LCM(18,632,108) = 17064


Lets's calculate GCF of 394,638,572

2 394, 638, 572
197, 319, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17064/2

Therefore the LCM of Fractions 18/394,632/638,108/572 is 8532

Greatest Common Factor of 394,638,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,638,572 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 638

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

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

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 394,638,572 . The biggest common factor number is the GCF number.
So the greatest common factor 394,638,572 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 18/394, 632/638, 108/572

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 18/394, 632/638, 108/572?

Answer: LCM of Numerators as per given numbers 18/394, 632/638, 108/572 is

LCM of Numerators i.e. for 18,632,108 is 17064

GCF of denominators i.e. for 394,638,572 is 2.

Thus, LCM of Fractions is 8532.Finally, LCM of Fractions for 18/394, 632/638, 108/572 is 8532.