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LCM of 255, 893, 436, 388

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


Find the LCM of 255, 893, 436, 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 255, 893, 436, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,893,436,388

Given numbers are 255,893,436,388

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

The LCM of 255,893,436,388 is 9630522780.

Find LCM of 255,893,436,388 with Prime Factorization


2 255, 893, 436, 388
2 255, 893, 218, 194
255, 893, 109, 97

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

2 x 2 x 255 x 893 x 109 x 97 = 9630522780

Therefore, the lowest common multiple of 255,893,436,388 is 9630522780.

LCM Formula to Find Lowest Common Multiple of 255,893,436,388

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.

255 x 893 x 436 x 388 = 38522091120

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

893 : 1, 19, 47, 893

436 : 1, 2, 4, 109, 218, 436

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 255,893,436,388, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

893:19x 47

436:2x 2x 109

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 = 38522091120/(1x4)

LCM = 38522091120/4

LCM = 9630522780

Thus, we can understand that the LCM of 255,893,436,388 is 9630522780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 893, 436, 388

1. What is the LCM of 255, 893, 436, 388?

Answer: LCM of 255, 893, 436, 388 is 9630522780.

2. How to calculate the LCM of 255, 893, 436, 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 255, 893, 436, 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}.