Least Common Multiple of 368/12, 209/8716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/12, 209/8716 quickly i.e. 19228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/12, 209/8716 is 19228.

LCM(368/12, 209/8716) = 19228

LCM of 368/12, 209/8716

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 368/12,209/8716

Given numbers are 368/12,209/8716

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 368,209

Least Common Multiple of Numerators i.e. LCM of 368,209 is 76912.

GCF of Denominators means GCF of 12,8716 as per the given fractions.

GCF of 12,8716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,209

LCM of Fractions 368/12,209/8716 is 19228

Given numbers has no common factors except 1. So, there LCM is their product i.e 76912

Least Common Multiple of 368,209 with GCF Formula

Least Common Multiple of 368,209 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 368,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,209) = 1

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

GCF(368,209) x common factors =1 x 1 = 1

LCM(368,209) = ( 368 × 209 ) / 1

LCM(368,209) = 76912 / 1

LCM(368,209) = 76912


Lets's calculate GCF of 12,8716

2 12, 8716
2 6, 4358
3, 2179

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76912/4

Therefore the LCM of Fractions 368/12,209/8716 is 19228

Greatest Common Factor of 12,8716 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,8716 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Greatest Common Factor

We found the factors 12,8716 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8716 is 4.


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 368/12, 209/8716

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 368/12, 209/8716?

Answer: LCM of Numerators as per given numbers 368/12, 209/8716 is

LCM of Numerators i.e. for 368,209 is 76912

GCF of denominators i.e. for 12,8716 is 4.

Thus, LCM of Fractions is 19228.Finally, LCM of Fractions for 368/12, 209/8716 is 19228.