Least Common Multiple of 6/450, 69/449, 59/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/450, 69/449, 59/580 quickly i.e. 8142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/450, 69/449, 59/580 is 8142.

LCM(6/450, 69/449, 59/580) = 8142

LCM of 6/450, 69/449, 59/580

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 6/450,69/449,59/580

Given numbers are 6/450,69/449,59/580

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 6,69,59

Least Common Multiple of Numerators i.e. LCM of 6,69,59 is 8142.

GCF of Denominators means GCF of 450,449,580 as per the given fractions.

GCF of 450,449,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,69,59

LCM of Fractions 6/450,69/449,59/580 is 8142

3 6, 69, 59
2, 23, 59

∴ So the LCM of the given numbers is 3 x 2 x 23 x 59 = 8142

Least Common Multiple of 6,69,59 with GCF Formula

Least Common Multiple of 6,69,59 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 6,69,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,69,59) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,69,59) x common factors =1 x 3 = 3

LCM(6,69,59) = ( 6 × 69 × 59 ) / 3

LCM(6,69,59) = 24426 / 3

LCM(6,69,59) = 8142


Lets's calculate GCF of 450,449,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8142/1

Therefore the LCM of Fractions 6/450,69/449,59/580 is 8142

Greatest Common Factor of 450,449,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,449,580 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

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

Greatest Common Factor

We found the factors 450,449,580 . The biggest common factor number is the GCF number.
So the greatest common factor 450,449,580 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 6/450, 69/449, 59/580

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 6/450, 69/449, 59/580?

Answer: LCM of Numerators as per given numbers 6/450, 69/449, 59/580 is

LCM of Numerators i.e. for 6,69,59 is 8142

GCF of denominators i.e. for 450,449,580 is 1.

Thus, LCM of Fractions is 8142.Finally, LCM of Fractions for 6/450, 69/449, 59/580 is 8142.