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LCM of 818, 525, 372, 963

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


Find the LCM of 818, 525, 372, 963 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 818, 525, 372, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,525,372,963

Given numbers are 818,525,372,963

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

The LCM of 818,525,372,963 is 8546913900.

Find LCM of 818,525,372,963 with Prime Factorization


2 818, 525, 372, 963
3 409, 525, 186, 963
409, 175, 62, 321

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

2 x 3 x 409 x 175 x 62 x 321 = 8546913900

Therefore, the lowest common multiple of 818,525,372,963 is 8546913900.

LCM Formula to Find Lowest Common Multiple of 818,525,372,963

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.

818 x 525 x 372 x 963 = 153844450200

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.

818 : 1, 2, 409, 818

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,525,372,963, is 1.

Now, the common factors can be found like this.

818:2x 409

525:3x 5x 5x 7

372:2x 2x 3x 31

963:3x 3x 107

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 153844450200/(1x18)

LCM = 153844450200/18

LCM = 8546913900

Thus, we can understand that the LCM of 818,525,372,963 is 8546913900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 525, 372, 963

1. What is the LCM of 818, 525, 372, 963?

Answer: LCM of 818, 525, 372, 963 is 8546913900.

2. How to calculate the LCM of 818, 525, 372, 963?

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 818, 525, 372, 963.

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}.