Least Common Multiple of 19/265, 39/582, 422/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/265, 39/582, 422/579 quickly i.e. 312702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/265, 39/582, 422/579 is 312702.

LCM(19/265, 39/582, 422/579) = 312702

LCM of 19/265, 39/582, 422/579

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 19/265,39/582,422/579

Given numbers are 19/265,39/582,422/579

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 19,39,422

Least Common Multiple of Numerators i.e. LCM of 19,39,422 is 312702.

GCF of Denominators means GCF of 265,582,579 as per the given fractions.

GCF of 265,582,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,39,422

LCM of Fractions 19/265,39/582,422/579 is 312702

Given numbers has no common factors except 1. So, there LCM is their product i.e 312702

Least Common Multiple of 19,39,422 with GCF Formula

Least Common Multiple of 19,39,422 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 19,39,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,39,422) = 1

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

GCF(19,39,422) x common factors =1 x 1 = 1

LCM(19,39,422) = ( 19 × 39 × 422 ) / 1

LCM(19,39,422) = 312702 / 1

LCM(19,39,422) = 312702


Lets's calculate GCF of 265,582,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312702/1

Therefore the LCM of Fractions 19/265,39/582,422/579 is 312702

Greatest Common Factor of 265,582,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,582,579 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 265,582,579 . The biggest common factor number is the GCF number.
So the greatest common factor 265,582,579 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 19/265, 39/582, 422/579

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 19/265, 39/582, 422/579?

Answer: LCM of Numerators as per given numbers 19/265, 39/582, 422/579 is

LCM of Numerators i.e. for 19,39,422 is 312702

GCF of denominators i.e. for 265,582,579 is 1.

Thus, LCM of Fractions is 312702.Finally, LCM of Fractions for 19/265, 39/582, 422/579 is 312702.