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LCM of 408, 507, 916, 928, 637

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


Find the LCM of 408, 507, 916, 928, 637 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 408, 507, 916, 928, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,507,916,928,637

Given numbers are 408,507,916,928,637

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

The LCM of 408,507,916,928,637 is 89750405472.

Find LCM of 408,507,916,928,637 with Prime Factorization


2 408, 507, 916, 928, 637
2 204, 507, 458, 464, 637
2 102, 507, 229, 232, 637
3 51, 507, 229, 116, 637
13 17, 169, 229, 116, 637
17, 13, 229, 116, 49

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

2 x 2 x 2 x 3 x 13 x 17 x 13 x 229 x 116 x 49 = 89750405472

Therefore, the lowest common multiple of 408,507,916,928,637 is 89750405472.

LCM Formula to Find Lowest Common Multiple of 408,507,916,928,637

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.

408 x 507 x 916 x 928 x 637 = 112008506029056

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.

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

507 : 1, 3, 13, 39, 169, 507

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,507,916,928,637, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

507:3x 13x 13

916:2x 2x 229

928:2x 2x 2x 2x 2x 29

637:7x 7x 13

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 13 = 1248

Therefore, the value for common factors is 1248.

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 = 112008506029056/(1x1248)

LCM = 112008506029056/1248

LCM = 89750405472

Thus, we can understand that the LCM of 408,507,916,928,637 is 89750405472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 507, 916, 928, 637

1. What is the LCM of 408, 507, 916, 928, 637?

Answer: LCM of 408, 507, 916, 928, 637 is 89750405472.

2. How to calculate the LCM of 408, 507, 916, 928, 637?

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 408, 507, 916, 928, 637.

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}.