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LCM of 806, 217, 791, 462

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


Find the LCM of 806, 217, 791, 462 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 806, 217, 791, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,217,791,462

Given numbers are 806,217,791,462

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

The LCM of 806,217,791,462 is 21039018.

Find LCM of 806,217,791,462 with Prime Factorization


2 806, 217, 791, 462
7 403, 217, 791, 231
31 403, 31, 113, 33
13, 1, 113, 33

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

2 x 7 x 31 x 13 x 1 x 113 x 33 = 21039018

Therefore, the lowest common multiple of 806,217,791,462 is 21039018.

LCM Formula to Find Lowest Common Multiple of 806,217,791,462

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.

806 x 217 x 791 x 462 = 63916536684

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

217 : 1, 7, 31, 217

791 : 1, 7, 113, 791

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,217,791,462, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

217:7x 31

791:7x 113

462:2x 3x 7x 11

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

2x 7x 7x 31 = 3038

Therefore, the value for common factors is 3038.

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 = 63916536684/(1x3038)

LCM = 63916536684/3038

LCM = 21039018

Thus, we can understand that the LCM of 806,217,791,462 is 21039018.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 217, 791, 462

1. What is the LCM of 806, 217, 791, 462?

Answer: LCM of 806, 217, 791, 462 is 21039018.

2. How to calculate the LCM of 806, 217, 791, 462?

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 806, 217, 791, 462.

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}.