Least Common Multiple of 19/432, 20/303, 680/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/432, 20/303, 680/393 quickly i.e. 12920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/432, 20/303, 680/393 is 12920/3.

LCM(19/432, 20/303, 680/393) = 12920/3

LCM of 19/432, 20/303, 680/393

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 19/432,20/303,680/393

Given numbers are 19/432,20/303,680/393

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 19,20,680

Least Common Multiple of Numerators i.e. LCM of 19,20,680 is 12920.

GCF of Denominators means GCF of 432,303,393 as per the given fractions.

GCF of 432,303,393 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,20,680

LCM of Fractions 19/432,20/303,680/393 is 12920/3

2 19, 20, 680
2 19, 10, 340
5 19, 5, 170
19, 1, 34

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 1 x 34 = 12920

Least Common Multiple of 19,20,680 with GCF Formula

Least Common Multiple of 19,20,680 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 19,20,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,20,680) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(19,20,680) x common factors =1 x 20 = 20

LCM(19,20,680) = ( 19 × 20 × 680 ) / 20

LCM(19,20,680) = 258400 / 20

LCM(19,20,680) = 12920


Lets's calculate GCF of 432,303,393

3 432, 303, 393
144, 101, 131

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12920/3

Therefore the LCM of Fractions 19/432,20/303,680/393 is 12920/3

Greatest Common Factor of 432,303,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,303,393 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 432,303,393 . The biggest common factor number is the GCF number.
So the greatest common factor 432,303,393 is 3.


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 19/432, 20/303, 680/393

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 19/432, 20/303, 680/393?

Answer: LCM of Numerators as per given numbers 19/432, 20/303, 680/393 is

LCM of Numerators i.e. for 19,20,680 is 12920

GCF of denominators i.e. for 432,303,393 is 3.

Thus, LCM of Fractions is 12920/3.Finally, LCM of Fractions for 19/432, 20/303, 680/393 is 12920/3.