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LCM of 9, 287, 207, 368

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


Find the LCM of 9, 287, 207, 368 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 9, 287, 207, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,287,207,368

Given numbers are 9,287,207,368

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

The LCM of 9,287,207,368 is 950544.

Find LCM of 9,287,207,368 with Prime Factorization


3 9, 287, 207, 368
3 3, 287, 69, 368
23 1, 287, 23, 368
1, 287, 1, 16

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

3 x 3 x 23 x 1 x 287 x 1 x 16 = 950544

Therefore, the lowest common multiple of 9,287,207,368 is 950544.

LCM Formula to Find Lowest Common Multiple of 9,287,207,368

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.

9 x 287 x 207 x 368 = 196762608

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.

9 : 1, 3, 9

287 : 1, 7, 41, 287

207 : 1, 3, 9, 23, 69, 207

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,287,207,368, is 1.

Now, the common factors can be found like this.

9:3x 3

287:7x 41

207:3x 3x 23

368:2x 2x 2x 2x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 196762608/(1x207)

LCM = 196762608/207

LCM = 950544

Thus, we can understand that the LCM of 9,287,207,368 is 950544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 287, 207, 368

1. What is the LCM of 9, 287, 207, 368?

Answer: LCM of 9, 287, 207, 368 is 950544.

2. How to calculate the LCM of 9, 287, 207, 368?

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 9, 287, 207, 368.

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}.