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LCM of 901, 928, 884, 399, 238

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


Find the LCM of 901, 928, 884, 399, 238 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 901, 928, 884, 399, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,928,884,399,238

Given numbers are 901,928,884,399,238

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

The LCM of 901,928,884,399,238 is 4336995936.

Find LCM of 901,928,884,399,238 with Prime Factorization


2 901, 928, 884, 399, 238
2 901, 464, 442, 399, 119
7 901, 232, 221, 399, 119
17 901, 232, 221, 57, 17
53, 232, 13, 57, 1

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

2 x 2 x 7 x 17 x 53 x 232 x 13 x 57 x 1 = 4336995936

Therefore, the lowest common multiple of 901,928,884,399,238 is 4336995936.

LCM Formula to Find Lowest Common Multiple of 901,928,884,399,238

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.

901 x 928 x 884 x 399 x 238 = 70189942228224

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.

901 : 1, 17, 53, 901

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

399 : 1, 3, 7, 19, 21, 57, 133, 399

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,928,884,399,238, is 1.

Now, the common factors can be found like this.

901:17x 53

928:2x 2x 2x 2x 2x 29

884:2x 2x 13x 17

399:3x 7x 19

238:2x 7x 17

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 7x 17x 17 = 16184

Therefore, the value for common factors is 16184.

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 = 70189942228224/(1x16184)

LCM = 70189942228224/16184

LCM = 4336995936

Thus, we can understand that the LCM of 901,928,884,399,238 is 4336995936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 928, 884, 399, 238

1. What is the LCM of 901, 928, 884, 399, 238?

Answer: LCM of 901, 928, 884, 399, 238 is 4336995936.

2. How to calculate the LCM of 901, 928, 884, 399, 238?

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 901, 928, 884, 399, 238.

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}.