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LCM of 230, 667, 408, 128

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


Find the LCM of 230, 667, 408, 128 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 230, 667, 408, 128. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,667,408,128

Given numbers are 230,667,408,128

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

The LCM of 230,667,408,128 is 21770880.

Find LCM of 230,667,408,128 with Prime Factorization


2 230, 667, 408, 128
2 115, 667, 204, 64
2 115, 667, 102, 32
23 115, 667, 51, 16
5, 29, 51, 16

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

2 x 2 x 2 x 23 x 5 x 29 x 51 x 16 = 21770880

Therefore, the lowest common multiple of 230,667,408,128 is 21770880.

LCM Formula to Find Lowest Common Multiple of 230,667,408,128

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.

230 x 667 x 408 x 128 = 8011683840

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

667 : 1, 23, 29, 667

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,667,408,128, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

667:23x 29

408:2x 2x 2x 3x 17

128:2x 2x 2x 2x 2x 2x 2

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 23 = 368

Therefore, the value for common factors is 368.

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 = 8011683840/(1x368)

LCM = 8011683840/368

LCM = 21770880

Thus, we can understand that the LCM of 230,667,408,128 is 21770880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 667, 408, 128

1. What is the LCM of 230, 667, 408, 128?

Answer: LCM of 230, 667, 408, 128 is 21770880.

2. How to calculate the LCM of 230, 667, 408, 128?

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 230, 667, 408, 128.

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}.