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LCM of 621, 423, 638, 286, 406

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


Find the LCM of 621, 423, 638, 286, 406 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 621, 423, 638, 286, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 621,423,638,286,406

Given numbers are 621,423,638,286,406

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

The LCM of 621,423,638,286,406 is 1694538846.

Find LCM of 621,423,638,286,406 with Prime Factorization


2 621, 423, 638, 286, 406
3 621, 423, 319, 143, 203
3 207, 141, 319, 143, 203
11 69, 47, 319, 143, 203
29 69, 47, 29, 13, 203
69, 47, 1, 13, 7

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

2 x 3 x 3 x 11 x 29 x 69 x 47 x 1 x 13 x 7 = 1694538846

Therefore, the lowest common multiple of 621,423,638,286,406 is 1694538846.

LCM Formula to Find Lowest Common Multiple of 621,423,638,286,406

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.

621 x 423 x 638 x 286 x 406 = 19460084107464

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.

621 : 1, 3, 9, 23, 27, 69, 207, 621

423 : 1, 3, 9, 47, 141, 423

638 : 1, 2, 11, 22, 29, 58, 319, 638

286 : 1, 2, 11, 13, 22, 26, 143, 286

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,423,638,286,406, is 1.

Now, the common factors can be found like this.

621:3x 3x 3x 23

423:3x 3x 47

638:2x 11x 29

286:2x 11x 13

406:2x 7x 29

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 3x 3x 11x 29 = 11484

Therefore, the value for common factors is 11484.

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 = 19460084107464/(1x11484)

LCM = 19460084107464/11484

LCM = 1694538846

Thus, we can understand that the LCM of 621,423,638,286,406 is 1694538846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 621, 423, 638, 286, 406

1. What is the LCM of 621, 423, 638, 286, 406?

Answer: LCM of 621, 423, 638, 286, 406 is 1694538846.

2. How to calculate the LCM of 621, 423, 638, 286, 406?

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 621, 423, 638, 286, 406.

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}.