Least Common Multiple of 809/14, 426/4500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/14, 426/4500 quickly i.e. 172317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/14, 426/4500 is 172317.

LCM(809/14, 426/4500) = 172317

LCM of 809/14, 426/4500

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 809/14,426/4500

Given numbers are 809/14,426/4500

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 809,426

Least Common Multiple of Numerators i.e. LCM of 809,426 is 344634.

GCF of Denominators means GCF of 14,4500 as per the given fractions.

GCF of 14,4500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,426

LCM of Fractions 809/14,426/4500 is 172317

Given numbers has no common factors except 1. So, there LCM is their product i.e 344634

Least Common Multiple of 809,426 with GCF Formula

Least Common Multiple of 809,426 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 809,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,426) = 1

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

GCF(809,426) x common factors =1 x 1 = 1

LCM(809,426) = ( 809 × 426 ) / 1

LCM(809,426) = 344634 / 1

LCM(809,426) = 344634


Lets's calculate GCF of 14,4500

2 14, 4500
7, 2250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344634/2

Therefore the LCM of Fractions 809/14,426/4500 is 172317

Greatest Common Factor of 14,4500 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,4500 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Greatest Common Factor

We found the factors 14,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 14,4500 is 2.


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 809/14, 426/4500

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 809/14, 426/4500?

Answer: LCM of Numerators as per given numbers 809/14, 426/4500 is

LCM of Numerators i.e. for 809,426 is 344634

GCF of denominators i.e. for 14,4500 is 2.

Thus, LCM of Fractions is 172317.Finally, LCM of Fractions for 809/14, 426/4500 is 172317.