Least Common Multiple of 106/460, 398/624, 638/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/460, 398/624, 638/643 quickly i.e. 6728986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/460, 398/624, 638/643 is 6728986.

LCM(106/460, 398/624, 638/643) = 6728986

LCM of 106/460, 398/624, 638/643

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 106/460,398/624,638/643

Given numbers are 106/460,398/624,638/643

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 106,398,638

Least Common Multiple of Numerators i.e. LCM of 106,398,638 is 6728986.

GCF of Denominators means GCF of 460,624,643 as per the given fractions.

GCF of 460,624,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,398,638

LCM of Fractions 106/460,398/624,638/643 is 6728986

2 106, 398, 638
53, 199, 319

∴ So the LCM of the given numbers is 2 x 53 x 199 x 319 = 6728986

Least Common Multiple of 106,398,638 with GCF Formula

Least Common Multiple of 106,398,638 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 106,398,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,398,638) = 2

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

GCF(106,398,638) x common factors =2 x 2 = 4

LCM(106,398,638) = ( 106 × 398 × 638 ) / 4

LCM(106,398,638) = 26915944 / 4

LCM(106,398,638) = 6728986


Lets's calculate GCF of 460,624,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6728986/1

Therefore the LCM of Fractions 106/460,398/624,638/643 is 6728986

Greatest Common Factor of 460,624,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,624,643 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 460,624,643 . The biggest common factor number is the GCF number.
So the greatest common factor 460,624,643 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 106/460, 398/624, 638/643

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 106/460, 398/624, 638/643?

Answer: LCM of Numerators as per given numbers 106/460, 398/624, 638/643 is

LCM of Numerators i.e. for 106,398,638 is 6728986

GCF of denominators i.e. for 460,624,643 is 1.

Thus, LCM of Fractions is 6728986.Finally, LCM of Fractions for 106/460, 398/624, 638/643 is 6728986.