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LCM of 400, 592, 643, 478, 621

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


Find the LCM of 400, 592, 643, 478, 621 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 400, 592, 643, 478, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,592,643,478,621

Given numbers are 400,592,643,478,621

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

The LCM of 400,592,643,478,621 is 1412414571600.

Find LCM of 400,592,643,478,621 with Prime Factorization


2 400, 592, 643, 478, 621
2 200, 296, 643, 239, 621
2 100, 148, 643, 239, 621
2 50, 74, 643, 239, 621
25, 37, 643, 239, 621

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

2 x 2 x 2 x 2 x 25 x 37 x 643 x 239 x 621 = 1412414571600

Therefore, the lowest common multiple of 400,592,643,478,621 is 1412414571600.

LCM Formula to Find Lowest Common Multiple of 400,592,643,478,621

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.

400 x 592 x 643 x 478 x 621 = 45197266291200

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

643 : 1, 643

478 : 1, 2, 239, 478

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,592,643,478,621, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

592:2x 2x 2x 2x 37

643:643

478:2x 239

621:3x 3x 3x 23

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 2 = 32

Therefore, the value for common factors is 32.

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 = 45197266291200/(1x32)

LCM = 45197266291200/32

LCM = 1412414571600

Thus, we can understand that the LCM of 400,592,643,478,621 is 1412414571600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 592, 643, 478, 621

1. What is the LCM of 400, 592, 643, 478, 621?

Answer: LCM of 400, 592, 643, 478, 621 is 1412414571600.

2. How to calculate the LCM of 400, 592, 643, 478, 621?

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 400, 592, 643, 478, 621.

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}.