Least Common Multiple of 19/205, 80/236, 596/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/205, 80/236, 596/999 quickly i.e. 226480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/205, 80/236, 596/999 is 226480.

LCM(19/205, 80/236, 596/999) = 226480

LCM of 19/205, 80/236, 596/999

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 19/205,80/236,596/999

Given numbers are 19/205,80/236,596/999

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 19,80,596

Least Common Multiple of Numerators i.e. LCM of 19,80,596 is 226480.

GCF of Denominators means GCF of 205,236,999 as per the given fractions.

GCF of 205,236,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,80,596

LCM of Fractions 19/205,80/236,596/999 is 226480

2 19, 80, 596
2 19, 40, 298
19, 20, 149

∴ So the LCM of the given numbers is 2 x 2 x 19 x 20 x 149 = 226480

Least Common Multiple of 19,80,596 with GCF Formula

Least Common Multiple of 19,80,596 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 19,80,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,80,596) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,80,596) x common factors =1 x 4 = 4

LCM(19,80,596) = ( 19 × 80 × 596 ) / 4

LCM(19,80,596) = 905920 / 4

LCM(19,80,596) = 226480


Lets's calculate GCF of 205,236,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226480/1

Therefore the LCM of Fractions 19/205,80/236,596/999 is 226480

Greatest Common Factor of 205,236,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,236,999 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 205,236,999 . The biggest common factor number is the GCF number.
So the greatest common factor 205,236,999 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 19/205, 80/236, 596/999

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 19/205, 80/236, 596/999?

Answer: LCM of Numerators as per given numbers 19/205, 80/236, 596/999 is

LCM of Numerators i.e. for 19,80,596 is 226480

GCF of denominators i.e. for 205,236,999 is 1.

Thus, LCM of Fractions is 226480.Finally, LCM of Fractions for 19/205, 80/236, 596/999 is 226480.