Least Common Multiple of 19/580, 76/802, 549/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/580, 76/802, 549/441 quickly i.e. 41724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/580, 76/802, 549/441 is 41724.

LCM(19/580, 76/802, 549/441) = 41724

LCM of 19/580, 76/802, 549/441

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 19/580,76/802,549/441

Given numbers are 19/580,76/802,549/441

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 19,76,549

Least Common Multiple of Numerators i.e. LCM of 19,76,549 is 41724.

GCF of Denominators means GCF of 580,802,441 as per the given fractions.

GCF of 580,802,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,76,549

LCM of Fractions 19/580,76/802,549/441 is 41724

19 19, 76, 549
1, 4, 549

∴ So the LCM of the given numbers is 19 x 1 x 4 x 549 = 41724

Least Common Multiple of 19,76,549 with GCF Formula

Least Common Multiple of 19,76,549 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 19,76,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,76,549) = 1

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

GCF(19,76,549) x common factors =1 x 19 = 19

LCM(19,76,549) = ( 19 × 76 × 549 ) / 19

LCM(19,76,549) = 792756 / 19

LCM(19,76,549) = 41724


Lets's calculate GCF of 580,802,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41724/1

Therefore the LCM of Fractions 19/580,76/802,549/441 is 41724

Greatest Common Factor of 580,802,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,802,441 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 580,802,441 . The biggest common factor number is the GCF number.
So the greatest common factor 580,802,441 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 19/580, 76/802, 549/441

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 19/580, 76/802, 549/441?

Answer: LCM of Numerators as per given numbers 19/580, 76/802, 549/441 is

LCM of Numerators i.e. for 19,76,549 is 41724

GCF of denominators i.e. for 580,802,441 is 1.

Thus, LCM of Fractions is 41724.Finally, LCM of Fractions for 19/580, 76/802, 549/441 is 41724.