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LCM of 399, 303, 606, 792, 813

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


Find the LCM of 399, 303, 606, 792, 813 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 399, 303, 606, 792, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,303,606,792,813

Given numbers are 399,303,606,792,813

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

The LCM of 399,303,606,792,813 is 2883151656.

Find LCM of 399,303,606,792,813 with Prime Factorization


2 399, 303, 606, 792, 813
3 399, 303, 303, 396, 813
101 133, 101, 101, 132, 271
133, 1, 1, 132, 271

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

2 x 3 x 101 x 133 x 1 x 1 x 132 x 271 = 2883151656

Therefore, the lowest common multiple of 399,303,606,792,813 is 2883151656.

LCM Formula to Find Lowest Common Multiple of 399,303,606,792,813

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.

399 x 303 x 606 x 792 x 813 = 47174127395472

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

303 : 1, 3, 101, 303

606 : 1, 2, 3, 6, 101, 202, 303, 606

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

813 : 1, 3, 271, 813

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,303,606,792,813, is 3.

Now, the common factors can be found like this.

399:3x 7x 19

303:3x 101

606:2x 3x 101

792:2x 2x 2x 3x 3x 11

813:3x 271

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 3x 3x 101 = 5454

Therefore, the value for common factors is 5454.

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 = 47174127395472/(3x5454)

LCM = 47174127395472/16362

LCM = 2883151656

Thus, we can understand that the LCM of 399,303,606,792,813 is 2883151656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 303, 606, 792, 813

1. What is the LCM of 399, 303, 606, 792, 813?

Answer: LCM of 399, 303, 606, 792, 813 is 2883151656.

2. How to calculate the LCM of 399, 303, 606, 792, 813?

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 399, 303, 606, 792, 813.

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}.