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LCM of 865, 203, 916, 432

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


Find the LCM of 865, 203, 916, 432 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 865, 203, 916, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,203,916,432

Given numbers are 865,203,916,432

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

The LCM of 865,203,916,432 is 17371262160.

Find LCM of 865,203,916,432 with Prime Factorization


2 865, 203, 916, 432
2 865, 203, 458, 216
865, 203, 229, 108

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

2 x 2 x 865 x 203 x 229 x 108 = 17371262160

Therefore, the lowest common multiple of 865,203,916,432 is 17371262160.

LCM Formula to Find Lowest Common Multiple of 865,203,916,432

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.

865 x 203 x 916 x 432 = 69485048640

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.

865 : 1, 5, 173, 865

203 : 1, 7, 29, 203

916 : 1, 2, 4, 229, 458, 916

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,203,916,432, is 1.

Now, the common factors can be found like this.

865:5x 173

203:7x 29

916:2x 2x 229

432:2x 2x 2x 2x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69485048640/(1x4)

LCM = 69485048640/4

LCM = 17371262160

Thus, we can understand that the LCM of 865,203,916,432 is 17371262160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 203, 916, 432

1. What is the LCM of 865, 203, 916, 432?

Answer: LCM of 865, 203, 916, 432 is 17371262160.

2. How to calculate the LCM of 865, 203, 916, 432?

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 865, 203, 916, 432.

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}.