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LCM of 416, 150, 864, 361, 755

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


Find the LCM of 416, 150, 864, 361, 755 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 416, 150, 864, 361, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,150,864,361,755

Given numbers are 416,150,864,361,755

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

The LCM of 416,150,864,361,755 is 15306688800.

Find LCM of 416,150,864,361,755 with Prime Factorization


2 416, 150, 864, 361, 755
2 208, 75, 432, 361, 755
2 104, 75, 216, 361, 755
2 52, 75, 108, 361, 755
2 26, 75, 54, 361, 755
3 13, 75, 27, 361, 755
5 13, 25, 9, 361, 755
13, 5, 9, 361, 151

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 5 x 9 x 361 x 151 = 15306688800

Therefore, the lowest common multiple of 416,150,864,361,755 is 15306688800.

LCM Formula to Find Lowest Common Multiple of 416,150,864,361,755

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.

416 x 150 x 864 x 361 x 755 = 14694421248000

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

361 : 1, 19, 361

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,150,864,361,755, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

150:2x 3x 5x 5

864:2x 2x 2x 2x 2x 3x 3x 3

361:19x 19

755:5x 151

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 5 = 960

Therefore, the value for common factors is 960.

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 = 14694421248000/(1x960)

LCM = 14694421248000/960

LCM = 15306688800

Thus, we can understand that the LCM of 416,150,864,361,755 is 15306688800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 150, 864, 361, 755

1. What is the LCM of 416, 150, 864, 361, 755?

Answer: LCM of 416, 150, 864, 361, 755 is 15306688800.

2. How to calculate the LCM of 416, 150, 864, 361, 755?

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 416, 150, 864, 361, 755.

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}.