Least Common Multiple of 445/580, 5789/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 445/580, 5789/220 quickly i.e. 2576105/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 445/580, 5789/220 is 2576105/20.

LCM(445/580, 5789/220) = 2576105/20

LCM of 445/580, 5789/220

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 445/580,5789/220

Given numbers are 445/580,5789/220

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 445,5789

Least Common Multiple of Numerators i.e. LCM of 445,5789 is 2576105.

GCF of Denominators means GCF of 580,220 as per the given fractions.

GCF of 580,220 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 445,5789

LCM of Fractions 445/580,5789/220 is 2576105/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 2576105

Least Common Multiple of 445,5789 with GCF Formula

Least Common Multiple of 445,5789 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 445,5789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,5789) = 1

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

GCF(445,5789) x common factors =1 x 1 = 1

LCM(445,5789) = ( 445 × 5789 ) / 1

LCM(445,5789) = 2576105 / 1

LCM(445,5789) = 2576105


Lets's calculate GCF of 580,220

2 580, 220
2 290, 110
5 145, 55
29, 11

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2576105/20

Therefore the LCM of Fractions 445/580,5789/220 is 2576105/20

Greatest Common Factor of 580,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,220 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 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 580,220 . The biggest common factor number is the GCF number.
So the greatest common factor 580,220 is 20.


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 445/580, 5789/220

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 445/580, 5789/220?

Answer: LCM of Numerators as per given numbers 445/580, 5789/220 is

LCM of Numerators i.e. for 445,5789 is 2576105

GCF of denominators i.e. for 580,220 is 20.

Thus, LCM of Fractions is 2576105/20.Finally, LCM of Fractions for 445/580, 5789/220 is 2576105/20.