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LCM of 108, 408, 525, 280, 366

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


Find the LCM of 108, 408, 525, 280, 366 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 108, 408, 525, 280, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,408,525,280,366

Given numbers are 108,408,525,280,366

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

The LCM of 108,408,525,280,366 is 39198600.

Find LCM of 108,408,525,280,366 with Prime Factorization


2 108, 408, 525, 280, 366
2 54, 204, 525, 140, 183
2 27, 102, 525, 70, 183
3 27, 51, 525, 35, 183
5 9, 17, 175, 35, 61
7 9, 17, 7, 35, 61
9, 17, 1, 5, 61

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

2 x 2 x 2 x 3 x 5 x 7 x 9 x 17 x 1 x 5 x 61 = 39198600

Therefore, the lowest common multiple of 108,408,525,280,366 is 39198600.

LCM Formula to Find Lowest Common Multiple of 108,408,525,280,366

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.

108 x 408 x 525 x 280 x 366 = 2370731328000

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,408,525,280,366, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

408:2x 2x 2x 3x 17

525:3x 5x 5x 7

280:2x 2x 2x 5x 7

366:2x 3x 61

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 2x 2x 3x 3x 3x 5x 7 = 60480

Therefore, the value for common factors is 60480.

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 = 2370731328000/(1x60480)

LCM = 2370731328000/60480

LCM = 39198600

Thus, we can understand that the LCM of 108,408,525,280,366 is 39198600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 408, 525, 280, 366

1. What is the LCM of 108, 408, 525, 280, 366?

Answer: LCM of 108, 408, 525, 280, 366 is 39198600.

2. How to calculate the LCM of 108, 408, 525, 280, 366?

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 108, 408, 525, 280, 366.

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}.