Least Common Multiple of 8234/34, 3723/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8234/34, 3723/204 quickly i.e. 901623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8234/34, 3723/204 is 901623.

LCM(8234/34, 3723/204) = 901623

LCM of 8234/34, 3723/204

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 8234/34,3723/204

Given numbers are 8234/34,3723/204

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 8234,3723

Least Common Multiple of Numerators i.e. LCM of 8234,3723 is 30655182.

GCF of Denominators means GCF of 34,204 as per the given fractions.

GCF of 34,204 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8234,3723

LCM of Fractions 8234/34,3723/204 is 901623

Given numbers has no common factors except 1. So, there LCM is their product i.e 30655182

Least Common Multiple of 8234,3723 with GCF Formula

Least Common Multiple of 8234,3723 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 8234,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8234,3723) = 1

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

GCF(8234,3723) x common factors =1 x 1 = 1

LCM(8234,3723) = ( 8234 × 3723 ) / 1

LCM(8234,3723) = 30655182 / 1

LCM(8234,3723) = 30655182


Lets's calculate GCF of 34,204

2 34, 204
17 17, 102
1, 6

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30655182/34

Therefore the LCM of Fractions 8234/34,3723/204 is 901623

Greatest Common Factor of 34,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,204 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 34,204 . The biggest common factor number is the GCF number.
So the greatest common factor 34,204 is 34.


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 8234/34, 3723/204

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 8234/34, 3723/204?

Answer: LCM of Numerators as per given numbers 8234/34, 3723/204 is

LCM of Numerators i.e. for 8234,3723 is 30655182

GCF of denominators i.e. for 34,204 is 34.

Thus, LCM of Fractions is 901623.Finally, LCM of Fractions for 8234/34, 3723/204 is 901623.