Least Common Multiple of 423/638, 566/635, 693/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/638, 566/635, 693/689 quickly i.e. 18435186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/638, 566/635, 693/689 is 18435186.

LCM(423/638, 566/635, 693/689) = 18435186

LCM of 423/638, 566/635, 693/689

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 423/638,566/635,693/689

Given numbers are 423/638,566/635,693/689

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 423,566,693

Least Common Multiple of Numerators i.e. LCM of 423,566,693 is 18435186.

GCF of Denominators means GCF of 638,635,689 as per the given fractions.

GCF of 638,635,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,566,693

LCM of Fractions 423/638,566/635,693/689 is 18435186

3 423, 566, 693
3 141, 566, 231
47, 566, 77

∴ So the LCM of the given numbers is 3 x 3 x 47 x 566 x 77 = 18435186

Least Common Multiple of 423,566,693 with GCF Formula

Least Common Multiple of 423,566,693 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 423,566,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,566,693) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(423,566,693) x common factors =1 x 9 = 9

LCM(423,566,693) = ( 423 × 566 × 693 ) / 9

LCM(423,566,693) = 165916674 / 9

LCM(423,566,693) = 18435186


Lets's calculate GCF of 638,635,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18435186/1

Therefore the LCM of Fractions 423/638,566/635,693/689 is 18435186

Greatest Common Factor of 638,635,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,635,689 By Matching Biggest Common Factor Method

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 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 638,635,689 . The biggest common factor number is the GCF number.
So the greatest common factor 638,635,689 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 423/638, 566/635, 693/689

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 423/638, 566/635, 693/689?

Answer: LCM of Numerators as per given numbers 423/638, 566/635, 693/689 is

LCM of Numerators i.e. for 423,566,693 is 18435186

GCF of denominators i.e. for 638,635,689 is 1.

Thus, LCM of Fractions is 18435186.Finally, LCM of Fractions for 423/638, 566/635, 693/689 is 18435186.