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LCM of 855, 912, 312, 986

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


Find the LCM of 855, 912, 312, 986 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 855, 912, 312, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,912,312,986

Given numbers are 855,912,312,986

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

The LCM of 855,912,312,986 is 87675120.

Find LCM of 855,912,312,986 with Prime Factorization


2 855, 912, 312, 986
2 855, 456, 156, 493
2 855, 228, 78, 493
3 855, 114, 39, 493
19 285, 38, 13, 493
15, 2, 13, 493

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

2 x 2 x 2 x 3 x 19 x 15 x 2 x 13 x 493 = 87675120

Therefore, the lowest common multiple of 855,912,312,986 is 87675120.

LCM Formula to Find Lowest Common Multiple of 855,912,312,986

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.

855 x 912 x 312 x 986 = 239879128320

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.

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,912,312,986, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

912:2x 2x 2x 2x 3x 19

312:2x 2x 2x 3x 13

986:2x 17x 29

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 19 = 2736

Therefore, the value for common factors is 2736.

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 = 239879128320/(1x2736)

LCM = 239879128320/2736

LCM = 87675120

Thus, we can understand that the LCM of 855,912,312,986 is 87675120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 912, 312, 986

1. What is the LCM of 855, 912, 312, 986?

Answer: LCM of 855, 912, 312, 986 is 87675120.

2. How to calculate the LCM of 855, 912, 312, 986?

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 855, 912, 312, 986.

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}.