Least Common Multiple of 19/389, 133/206, 629/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/389, 133/206, 629/480 quickly i.e. 83657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/389, 133/206, 629/480 is 83657.

LCM(19/389, 133/206, 629/480) = 83657

LCM of 19/389, 133/206, 629/480

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 19/389,133/206,629/480

Given numbers are 19/389,133/206,629/480

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 19,133,629

Least Common Multiple of Numerators i.e. LCM of 19,133,629 is 83657.

GCF of Denominators means GCF of 389,206,480 as per the given fractions.

GCF of 389,206,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,133,629

LCM of Fractions 19/389,133/206,629/480 is 83657

19 19, 133, 629
1, 7, 629

∴ So the LCM of the given numbers is 19 x 1 x 7 x 629 = 83657

Least Common Multiple of 19,133,629 with GCF Formula

Least Common Multiple of 19,133,629 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 19,133,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,133,629) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,133,629) x common factors =1 x 19 = 19

LCM(19,133,629) = ( 19 × 133 × 629 ) / 19

LCM(19,133,629) = 1589483 / 19

LCM(19,133,629) = 83657


Lets's calculate GCF of 389,206,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83657/1

Therefore the LCM of Fractions 19/389,133/206,629/480 is 83657

Greatest Common Factor of 389,206,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,206,480 By Matching Biggest Common Factor Method

Factors of 389

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

1,389

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 389,206,480 . The biggest common factor number is the GCF number.
So the greatest common factor 389,206,480 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 19/389, 133/206, 629/480

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 19/389, 133/206, 629/480?

Answer: LCM of Numerators as per given numbers 19/389, 133/206, 629/480 is

LCM of Numerators i.e. for 19,133,629 is 83657

GCF of denominators i.e. for 389,206,480 is 1.

Thus, LCM of Fractions is 83657.Finally, LCM of Fractions for 19/389, 133/206, 629/480 is 83657.