Least Common Multiple of 809/301, 508/102, 420/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/301, 508/102, 420/208 quickly i.e. 43152060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/301, 508/102, 420/208 is 43152060.

LCM(809/301, 508/102, 420/208) = 43152060

LCM of 809/301, 508/102, 420/208

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 809/301,508/102,420/208

Given numbers are 809/301,508/102,420/208

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 809,508,420

Least Common Multiple of Numerators i.e. LCM of 809,508,420 is 43152060.

GCF of Denominators means GCF of 301,102,208 as per the given fractions.

GCF of 301,102,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,508,420

LCM of Fractions 809/301,508/102,420/208 is 43152060

2 809, 508, 420
2 809, 254, 210
809, 127, 105

∴ So the LCM of the given numbers is 2 x 2 x 809 x 127 x 105 = 43152060

Least Common Multiple of 809,508,420 with GCF Formula

Least Common Multiple of 809,508,420 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 809,508,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,508,420) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(809,508,420) x common factors =1 x 4 = 4

LCM(809,508,420) = ( 809 × 508 × 420 ) / 4

LCM(809,508,420) = 172608240 / 4

LCM(809,508,420) = 43152060


Lets's calculate GCF of 301,102,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43152060/1

Therefore the LCM of Fractions 809/301,508/102,420/208 is 43152060

Greatest Common Factor of 301,102,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,102,208 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 301,102,208 . The biggest common factor number is the GCF number.
So the greatest common factor 301,102,208 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 809/301, 508/102, 420/208

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 809/301, 508/102, 420/208?

Answer: LCM of Numerators as per given numbers 809/301, 508/102, 420/208 is

LCM of Numerators i.e. for 809,508,420 is 43152060

GCF of denominators i.e. for 301,102,208 is 1.

Thus, LCM of Fractions is 43152060.Finally, LCM of Fractions for 809/301, 508/102, 420/208 is 43152060.