Least Common Multiple of 19/37, 12/34, 599/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/37, 12/34, 599/389 quickly i.e. 136572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/37, 12/34, 599/389 is 136572.

LCM(19/37, 12/34, 599/389) = 136572

LCM of 19/37, 12/34, 599/389

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 19/37,12/34,599/389

Given numbers are 19/37,12/34,599/389

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 19,12,599

Least Common Multiple of Numerators i.e. LCM of 19,12,599 is 136572.

GCF of Denominators means GCF of 37,34,389 as per the given fractions.

GCF of 37,34,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,12,599

LCM of Fractions 19/37,12/34,599/389 is 136572

Given numbers has no common factors except 1. So, there LCM is their product i.e 136572

Least Common Multiple of 19,12,599 with GCF Formula

Least Common Multiple of 19,12,599 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 19,12,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,12,599) = 1

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

GCF(19,12,599) x common factors =1 x 1 = 1

LCM(19,12,599) = ( 19 × 12 × 599 ) / 1

LCM(19,12,599) = 136572 / 1

LCM(19,12,599) = 136572


Lets's calculate GCF of 37,34,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136572/1

Therefore the LCM of Fractions 19/37,12/34,599/389 is 136572

Greatest Common Factor of 37,34,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,34,389 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 37,34,389 . The biggest common factor number is the GCF number.
So the greatest common factor 37,34,389 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 19/37, 12/34, 599/389

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 19/37, 12/34, 599/389?

Answer: LCM of Numerators as per given numbers 19/37, 12/34, 599/389 is

LCM of Numerators i.e. for 19,12,599 is 136572

GCF of denominators i.e. for 37,34,389 is 1.

Thus, LCM of Fractions is 136572.Finally, LCM of Fractions for 19/37, 12/34, 599/389 is 136572.