Least Common Multiple of 809/34, 8600/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/34, 8600/104 quickly i.e. 3478700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/34, 8600/104 is 3478700.

LCM(809/34, 8600/104) = 3478700

LCM of 809/34, 8600/104

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 809/34,8600/104

Given numbers are 809/34,8600/104

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 809,8600

Least Common Multiple of Numerators i.e. LCM of 809,8600 is 6957400.

GCF of Denominators means GCF of 34,104 as per the given fractions.

GCF of 34,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,8600

LCM of Fractions 809/34,8600/104 is 3478700

Given numbers has no common factors except 1. So, there LCM is their product i.e 6957400

Least Common Multiple of 809,8600 with GCF Formula

Least Common Multiple of 809,8600 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 809,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,8600) = 1

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

GCF(809,8600) x common factors =1 x 1 = 1

LCM(809,8600) = ( 809 × 8600 ) / 1

LCM(809,8600) = 6957400 / 1

LCM(809,8600) = 6957400


Lets's calculate GCF of 34,104

2 34, 104
17, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6957400/2

Therefore the LCM of Fractions 809/34,8600/104 is 3478700

Greatest Common Factor of 34,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,104 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

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

Greatest Common Factor

We found the factors 34,104 . The biggest common factor number is the GCF number.
So the greatest common factor 34,104 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 809/34, 8600/104

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 809/34, 8600/104?

Answer: LCM of Numerators as per given numbers 809/34, 8600/104 is

LCM of Numerators i.e. for 809,8600 is 6957400

GCF of denominators i.e. for 34,104 is 2.

Thus, LCM of Fractions is 3478700.Finally, LCM of Fractions for 809/34, 8600/104 is 3478700.