Least Common Multiple of 82/467, 121/714, 809/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/467, 121/714, 809/450 quickly i.e. 8026898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/467, 121/714, 809/450 is 8026898.

LCM(82/467, 121/714, 809/450) = 8026898

LCM of 82/467, 121/714, 809/450

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 82/467,121/714,809/450

Given numbers are 82/467,121/714,809/450

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 82,121,809

Least Common Multiple of Numerators i.e. LCM of 82,121,809 is 8026898.

GCF of Denominators means GCF of 467,714,450 as per the given fractions.

GCF of 467,714,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,121,809

LCM of Fractions 82/467,121/714,809/450 is 8026898

Given numbers has no common factors except 1. So, there LCM is their product i.e 8026898

Least Common Multiple of 82,121,809 with GCF Formula

Least Common Multiple of 82,121,809 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 82,121,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,121,809) = 1

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

GCF(82,121,809) x common factors =1 x 1 = 1

LCM(82,121,809) = ( 82 × 121 × 809 ) / 1

LCM(82,121,809) = 8026898 / 1

LCM(82,121,809) = 8026898


Lets's calculate GCF of 467,714,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8026898/1

Therefore the LCM of Fractions 82/467,121/714,809/450 is 8026898

Greatest Common Factor of 467,714,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,714,450 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

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

Greatest Common Factor

We found the factors 467,714,450 . The biggest common factor number is the GCF number.
So the greatest common factor 467,714,450 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 82/467, 121/714, 809/450

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 82/467, 121/714, 809/450?

Answer: LCM of Numerators as per given numbers 82/467, 121/714, 809/450 is

LCM of Numerators i.e. for 82,121,809 is 8026898

GCF of denominators i.e. for 467,714,450 is 1.

Thus, LCM of Fractions is 8026898.Finally, LCM of Fractions for 82/467, 121/714, 809/450 is 8026898.