Least Common Multiple of 562/13, 619/58, 586/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/13, 619/58, 586/80 quickly i.e. 101928254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/13, 619/58, 586/80 is 101928254.

LCM(562/13, 619/58, 586/80) = 101928254

LCM of 562/13, 619/58, 586/80

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 562/13,619/58,586/80

Given numbers are 562/13,619/58,586/80

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 562,619,586

Least Common Multiple of Numerators i.e. LCM of 562,619,586 is 101928254.

GCF of Denominators means GCF of 13,58,80 as per the given fractions.

GCF of 13,58,80 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,619,586

LCM of Fractions 562/13,619/58,586/80 is 101928254

2 562, 619, 586
281, 619, 293

∴ So the LCM of the given numbers is 2 x 281 x 619 x 293 = 101928254

Least Common Multiple of 562,619,586 with GCF Formula

Least Common Multiple of 562,619,586 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 562,619,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,619,586) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(562,619,586) x common factors =1 x 2 = 2

LCM(562,619,586) = ( 562 × 619 × 586 ) / 2

LCM(562,619,586) = 203856508 / 2

LCM(562,619,586) = 101928254


Lets's calculate GCF of 13,58,80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101928254/1

Therefore the LCM of Fractions 562/13,619/58,586/80 is 101928254

Greatest Common Factor of 13,58,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,58,80 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 13,58,80 . The biggest common factor number is the GCF number.
So the greatest common factor 13,58,80 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 562/13, 619/58, 586/80

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 562/13, 619/58, 586/80?

Answer: LCM of Numerators as per given numbers 562/13, 619/58, 586/80 is

LCM of Numerators i.e. for 562,619,586 is 101928254

GCF of denominators i.e. for 13,58,80 is 1.

Thus, LCM of Fractions is 101928254.Finally, LCM of Fractions for 562/13, 619/58, 586/80 is 101928254.