Least Common Multiple of 19/382, 122/515, 159/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/382, 122/515, 159/193 quickly i.e. 368562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/382, 122/515, 159/193 is 368562.

LCM(19/382, 122/515, 159/193) = 368562

LCM of 19/382, 122/515, 159/193

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 19/382,122/515,159/193

Given numbers are 19/382,122/515,159/193

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 19,122,159

Least Common Multiple of Numerators i.e. LCM of 19,122,159 is 368562.

GCF of Denominators means GCF of 382,515,193 as per the given fractions.

GCF of 382,515,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,122,159

LCM of Fractions 19/382,122/515,159/193 is 368562

Given numbers has no common factors except 1. So, there LCM is their product i.e 368562

Least Common Multiple of 19,122,159 with GCF Formula

Least Common Multiple of 19,122,159 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 19,122,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,122,159) = 1

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

GCF(19,122,159) x common factors =1 x 1 = 1

LCM(19,122,159) = ( 19 × 122 × 159 ) / 1

LCM(19,122,159) = 368562 / 1

LCM(19,122,159) = 368562


Lets's calculate GCF of 382,515,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368562/1

Therefore the LCM of Fractions 19/382,122/515,159/193 is 368562

Greatest Common Factor of 382,515,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,515,193 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 382,515,193 . The biggest common factor number is the GCF number.
So the greatest common factor 382,515,193 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 19/382, 122/515, 159/193

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 19/382, 122/515, 159/193?

Answer: LCM of Numerators as per given numbers 19/382, 122/515, 159/193 is

LCM of Numerators i.e. for 19,122,159 is 368562

GCF of denominators i.e. for 382,515,193 is 1.

Thus, LCM of Fractions is 368562.Finally, LCM of Fractions for 19/382, 122/515, 159/193 is 368562.