Least Common Multiple of 19/52, 22/426, 781/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/52, 22/426, 781/589 quickly i.e. 29678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/52, 22/426, 781/589 is 29678.

LCM(19/52, 22/426, 781/589) = 29678

LCM of 19/52, 22/426, 781/589

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 19/52,22/426,781/589

Given numbers are 19/52,22/426,781/589

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 19,22,781

Least Common Multiple of Numerators i.e. LCM of 19,22,781 is 29678.

GCF of Denominators means GCF of 52,426,589 as per the given fractions.

GCF of 52,426,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,22,781

LCM of Fractions 19/52,22/426,781/589 is 29678

11 19, 22, 781
19, 2, 71

∴ So the LCM of the given numbers is 11 x 19 x 2 x 71 = 29678

Least Common Multiple of 19,22,781 with GCF Formula

Least Common Multiple of 19,22,781 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 19,22,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,22,781) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(19,22,781) x common factors =1 x 11 = 11

LCM(19,22,781) = ( 19 × 22 × 781 ) / 11

LCM(19,22,781) = 326458 / 11

LCM(19,22,781) = 29678


Lets's calculate GCF of 52,426,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29678/1

Therefore the LCM of Fractions 19/52,22/426,781/589 is 29678

Greatest Common Factor of 52,426,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,426,589 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 52,426,589 . The biggest common factor number is the GCF number.
So the greatest common factor 52,426,589 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 19/52, 22/426, 781/589

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 19/52, 22/426, 781/589?

Answer: LCM of Numerators as per given numbers 19/52, 22/426, 781/589 is

LCM of Numerators i.e. for 19,22,781 is 29678

GCF of denominators i.e. for 52,426,589 is 1.

Thus, LCM of Fractions is 29678.Finally, LCM of Fractions for 19/52, 22/426, 781/589 is 29678.