Least Common Multiple of 8206/210, 9814/7233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8206/210, 9814/7233 quickly i.e. 40266842/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8206/210, 9814/7233 is 40266842/3.

LCM(8206/210, 9814/7233) = 40266842/3

LCM of 8206/210, 9814/7233

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 8206/210,9814/7233

Given numbers are 8206/210,9814/7233

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 8206,9814

Least Common Multiple of Numerators i.e. LCM of 8206,9814 is 40266842.

GCF of Denominators means GCF of 210,7233 as per the given fractions.

GCF of 210,7233 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8206,9814

LCM of Fractions 8206/210,9814/7233 is 40266842/3

2 8206, 9814
4103, 4907

∴ So the LCM of the given numbers is 2 x 4103 x 4907 = 40266842

Least Common Multiple of 8206,9814 with GCF Formula

Least Common Multiple of 8206,9814 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 8206,9814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8206,9814) = 2

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

GCF(8206,9814) x common factors =2 x 1 = 2

LCM(8206,9814) = ( 8206 × 9814 ) / 2

LCM(8206,9814) = 80533684 / 2

LCM(8206,9814) = 40266842


Lets's calculate GCF of 210,7233

3 210, 7233
70, 2411

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40266842/3

Therefore the LCM of Fractions 8206/210,9814/7233 is 40266842/3

Greatest Common Factor of 210,7233 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,7233 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors 210,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 210,7233 is 3.


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 8206/210, 9814/7233

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 8206/210, 9814/7233?

Answer: LCM of Numerators as per given numbers 8206/210, 9814/7233 is

LCM of Numerators i.e. for 8206,9814 is 40266842

GCF of denominators i.e. for 210,7233 is 3.

Thus, LCM of Fractions is 40266842/3.Finally, LCM of Fractions for 8206/210, 9814/7233 is 40266842/3.