Least Common Multiple of 589/69, 270/19, 398/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/69, 270/19, 398/234 quickly i.e. 31646970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/69, 270/19, 398/234 is 31646970.

LCM(589/69, 270/19, 398/234) = 31646970

LCM of 589/69, 270/19, 398/234

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 589/69,270/19,398/234

Given numbers are 589/69,270/19,398/234

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 589,270,398

Least Common Multiple of Numerators i.e. LCM of 589,270,398 is 31646970.

GCF of Denominators means GCF of 69,19,234 as per the given fractions.

GCF of 69,19,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,270,398

LCM of Fractions 589/69,270/19,398/234 is 31646970

2 589, 270, 398
589, 135, 199

∴ So the LCM of the given numbers is 2 x 589 x 135 x 199 = 31646970

Least Common Multiple of 589,270,398 with GCF Formula

Least Common Multiple of 589,270,398 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 589,270,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,270,398) = 1

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

GCF(589,270,398) x common factors =1 x 2 = 2

LCM(589,270,398) = ( 589 × 270 × 398 ) / 2

LCM(589,270,398) = 63293940 / 2

LCM(589,270,398) = 31646970


Lets's calculate GCF of 69,19,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31646970/1

Therefore the LCM of Fractions 589/69,270/19,398/234 is 31646970

Greatest Common Factor of 69,19,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,19,234 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 69,19,234 . The biggest common factor number is the GCF number.
So the greatest common factor 69,19,234 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 589/69, 270/19, 398/234

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 589/69, 270/19, 398/234?

Answer: LCM of Numerators as per given numbers 589/69, 270/19, 398/234 is

LCM of Numerators i.e. for 589,270,398 is 31646970

GCF of denominators i.e. for 69,19,234 is 1.

Thus, LCM of Fractions is 31646970.Finally, LCM of Fractions for 589/69, 270/19, 398/234 is 31646970.