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LCM of 392, 213, 408, 804, 801

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


Find the LCM of 392, 213, 408, 804, 801 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 392, 213, 408, 804, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,213,408,804,801

Given numbers are 392,213,408,804,801

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

The LCM of 392,213,408,804,801 is 25392219048.

Find LCM of 392,213,408,804,801 with Prime Factorization


2 392, 213, 408, 804, 801
2 196, 213, 204, 402, 801
2 98, 213, 102, 201, 801
3 49, 213, 51, 201, 801
49, 71, 17, 67, 267

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

2 x 2 x 2 x 3 x 49 x 71 x 17 x 67 x 267 = 25392219048

Therefore, the lowest common multiple of 392,213,408,804,801 is 25392219048.

LCM Formula to Find Lowest Common Multiple of 392,213,408,804,801

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.

392 x 213 x 408 x 804 x 801 = 21938877257472

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

213 : 1, 3, 71, 213

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,213,408,804,801, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

213:3x 71

408:2x 2x 2x 3x 17

804:2x 2x 3x 67

801:3x 3x 89

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

2x 2x 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 21938877257472/(1x864)

LCM = 21938877257472/864

LCM = 25392219048

Thus, we can understand that the LCM of 392,213,408,804,801 is 25392219048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 213, 408, 804, 801

1. What is the LCM of 392, 213, 408, 804, 801?

Answer: LCM of 392, 213, 408, 804, 801 is 25392219048.

2. How to calculate the LCM of 392, 213, 408, 804, 801?

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 392, 213, 408, 804, 801.

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}.