Least Common Multiple of 820/589, 450/329, 366/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/589, 450/329, 366/474 quickly i.e. 2250900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/589, 450/329, 366/474 is 2250900.

LCM(820/589, 450/329, 366/474) = 2250900

LCM of 820/589, 450/329, 366/474

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 820/589,450/329,366/474

Given numbers are 820/589,450/329,366/474

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 820,450,366

Least Common Multiple of Numerators i.e. LCM of 820,450,366 is 2250900.

GCF of Denominators means GCF of 589,329,474 as per the given fractions.

GCF of 589,329,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,450,366

LCM of Fractions 820/589,450/329,366/474 is 2250900

2 820, 450, 366
3 410, 225, 183
5 410, 75, 61
82, 15, 61

∴ So the LCM of the given numbers is 2 x 3 x 5 x 82 x 15 x 61 = 2250900

Least Common Multiple of 820,450,366 with GCF Formula

Least Common Multiple of 820,450,366 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 820,450,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,450,366) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(820,450,366) x common factors =2 x 30 = 60

LCM(820,450,366) = ( 820 × 450 × 366 ) / 60

LCM(820,450,366) = 135054000 / 60

LCM(820,450,366) = 2250900


Lets's calculate GCF of 589,329,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2250900/1

Therefore the LCM of Fractions 820/589,450/329,366/474 is 2250900

Greatest Common Factor of 589,329,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,329,474 By Matching Biggest Common Factor Method

Factors of 589

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

1,19,31,589

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 589,329,474 . The biggest common factor number is the GCF number.
So the greatest common factor 589,329,474 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 820/589, 450/329, 366/474

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 820/589, 450/329, 366/474?

Answer: LCM of Numerators as per given numbers 820/589, 450/329, 366/474 is

LCM of Numerators i.e. for 820,450,366 is 2250900

GCF of denominators i.e. for 589,329,474 is 1.

Thus, LCM of Fractions is 2250900.Finally, LCM of Fractions for 820/589, 450/329, 366/474 is 2250900.