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LCM of 833, 348, 328, 408, 407

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


Find the LCM of 833, 348, 328, 408, 407 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 833, 348, 328, 408, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 833,348,328,408,407

Given numbers are 833,348,328,408,407

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

The LCM of 833,348,328,408,407 is 9674588616.

Find LCM of 833,348,328,408,407 with Prime Factorization


2 833, 348, 328, 408, 407
2 833, 174, 164, 204, 407
2 833, 87, 82, 102, 407
3 833, 87, 41, 51, 407
17 833, 29, 41, 17, 407
49, 29, 41, 1, 407

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

2 x 2 x 2 x 3 x 17 x 49 x 29 x 41 x 1 x 407 = 9674588616

Therefore, the lowest common multiple of 833,348,328,408,407 is 9674588616.

LCM Formula to Find Lowest Common Multiple of 833,348,328,408,407

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.

833 x 348 x 328 x 408 x 407 = 15788928621312

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.

833 : 1, 7, 17, 49, 119, 833

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,348,328,408,407, is 1.

Now, the common factors can be found like this.

833:7x 7x 17

348:2x 2x 3x 29

328:2x 2x 2x 41

408:2x 2x 2x 3x 17

407:11x 37

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 17 = 1632

Therefore, the value for common factors is 1632.

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 = 15788928621312/(1x1632)

LCM = 15788928621312/1632

LCM = 9674588616

Thus, we can understand that the LCM of 833,348,328,408,407 is 9674588616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 833, 348, 328, 408, 407

1. What is the LCM of 833, 348, 328, 408, 407?

Answer: LCM of 833, 348, 328, 408, 407 is 9674588616.

2. How to calculate the LCM of 833, 348, 328, 408, 407?

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 833, 348, 328, 408, 407.

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}.