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LCM of 233, 206, 309

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 233, 206, 309 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 233, 206, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 233,206,309

Given numbers are 233,206,309

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 233,206,309 is 143994.

Find LCM of 233,206,309 with Prime Factorization


103 233, 206, 309
233, 2, 3

Multiply the prime numbers at the bottom and the left side.

103 x 233 x 2 x 3 = 143994

Therefore, the lowest common multiple of 233,206,309 is 143994.

LCM Formula to Find Lowest Common Multiple of 233,206,309

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

233 x 206 x 309 = 14831382

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

233 : 1, 233

206 : 1, 2, 103, 206

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,206,309, is 1.

Now, the common factors can be found like this.

233:233

206:2x 103

309:3x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

103 = 103

Therefore, the value for common factors is 103.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14831382/(1x103)

LCM = 14831382/103

LCM = 143994

Thus, we can understand that the LCM of 233,206,309 is 143994.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 233, 206, 309

1. What is the LCM of 233, 206, 309?

Answer: LCM of 233, 206, 309 is 143994.

2. How to calculate the LCM of 233, 206, 309?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 233, 206, 309.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.