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LCM of 611, 786, 216, 936, 855

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


Find the LCM of 611, 786, 216, 936, 855 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 611, 786, 216, 936, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 611,786,216,936,855

Given numbers are 611,786,216,936,855

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

The LCM of 611,786,216,936,855 is 1642441320.

Find LCM of 611,786,216,936,855 with Prime Factorization


2 611, 786, 216, 936, 855
2 611, 393, 108, 468, 855
2 611, 393, 54, 234, 855
3 611, 393, 27, 117, 855
3 611, 131, 9, 39, 285
13 611, 131, 3, 13, 95
47, 131, 3, 1, 95

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

2 x 2 x 2 x 3 x 3 x 13 x 47 x 131 x 3 x 1 x 95 = 1642441320

Therefore, the lowest common multiple of 611,786,216,936,855 is 1642441320.

LCM Formula to Find Lowest Common Multiple of 611,786,216,936,855

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.

611 x 786 x 216 x 936 x 855 = 83015554078080

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.

611 : 1, 13, 47, 611

786 : 1, 2, 3, 6, 131, 262, 393, 786

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,786,216,936,855, is 1.

Now, the common factors can be found like this.

611:13x 47

786:2x 3x 131

216:2x 2x 2x 3x 3x 3

936:2x 2x 2x 3x 3x 13

855:3x 3x 5x 19

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 3x 3x 3x 3x 3x 13 = 50544

Therefore, the value for common factors is 50544.

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 = 83015554078080/(1x50544)

LCM = 83015554078080/50544

LCM = 1642441320

Thus, we can understand that the LCM of 611,786,216,936,855 is 1642441320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 611, 786, 216, 936, 855

1. What is the LCM of 611, 786, 216, 936, 855?

Answer: LCM of 611, 786, 216, 936, 855 is 1642441320.

2. How to calculate the LCM of 611, 786, 216, 936, 855?

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 611, 786, 216, 936, 855.

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}.