Least Common Multiple of 693/38, 609/9070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/38, 609/9070 quickly i.e. 20097/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/38, 609/9070 is 20097/2.

LCM(693/38, 609/9070) = 20097/2

LCM of 693/38, 609/9070

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 693/38,609/9070

Given numbers are 693/38,609/9070

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 693,609

Least Common Multiple of Numerators i.e. LCM of 693,609 is 20097.

GCF of Denominators means GCF of 38,9070 as per the given fractions.

GCF of 38,9070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,609

LCM of Fractions 693/38,609/9070 is 20097/2

3 693, 609
7 231, 203
33, 29

∴ So the LCM of the given numbers is 3 x 7 x 33 x 29 = 20097

Least Common Multiple of 693,609 with GCF Formula

Least Common Multiple of 693,609 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 693,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,609) = 21

common factors(in case of two or more numbers have common factors) = 1

GCF(693,609) x common factors =21 x 1 = 21

LCM(693,609) = ( 693 × 609 ) / 21

LCM(693,609) = 422037 / 21

LCM(693,609) = 20097


Lets's calculate GCF of 38,9070

2 38, 9070
19, 4535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20097/2

Therefore the LCM of Fractions 693/38,609/9070 is 20097/2

Greatest Common Factor of 38,9070 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9070 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Greatest Common Factor

We found the factors 38,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9070 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 693/38, 609/9070

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 693/38, 609/9070?

Answer: LCM of Numerators as per given numbers 693/38, 609/9070 is

LCM of Numerators i.e. for 693,609 is 20097

GCF of denominators i.e. for 38,9070 is 2.

Thus, LCM of Fractions is 20097/2.Finally, LCM of Fractions for 693/38, 609/9070 is 20097/2.