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LCM of 421, 875, 384, 388

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


Find the LCM of 421, 875, 384, 388 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 421, 875, 384, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,875,384,388

Given numbers are 421,875,384,388

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

The LCM of 421,875,384,388 is 13721232000.

Find LCM of 421,875,384,388 with Prime Factorization


2 421, 875, 384, 388
2 421, 875, 192, 194
421, 875, 96, 97

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

2 x 2 x 421 x 875 x 96 x 97 = 13721232000

Therefore, the lowest common multiple of 421,875,384,388 is 13721232000.

LCM Formula to Find Lowest Common Multiple of 421,875,384,388

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.

421 x 875 x 384 x 388 = 54884928000

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.

421 : 1, 421

875 : 1, 5, 7, 25, 35, 125, 175, 875

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,875,384,388, is 1.

Now, the common factors can be found like this.

421:421

875:5x 5x 5x 7

384:2x 2x 2x 2x 2x 2x 2x 3

388:2x 2x 97

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 54884928000/(1x4)

LCM = 54884928000/4

LCM = 13721232000

Thus, we can understand that the LCM of 421,875,384,388 is 13721232000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 875, 384, 388

1. What is the LCM of 421, 875, 384, 388?

Answer: LCM of 421, 875, 384, 388 is 13721232000.

2. How to calculate the LCM of 421, 875, 384, 388?

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 421, 875, 384, 388.

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}.