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LCM of 612, 361, 764, 815, 962

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


Find the LCM of 612, 361, 764, 815, 962 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 612, 361, 764, 815, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,361,764,815,962

Given numbers are 612,361,764,815,962

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

The LCM of 612,361,764,815,962 is 16542253674180.

Find LCM of 612,361,764,815,962 with Prime Factorization


2 612, 361, 764, 815, 962
2 306, 361, 382, 815, 481
153, 361, 191, 815, 481

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

2 x 2 x 153 x 361 x 191 x 815 x 481 = 16542253674180

Therefore, the lowest common multiple of 612,361,764,815,962 is 16542253674180.

LCM Formula to Find Lowest Common Multiple of 612,361,764,815,962

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.

612 x 361 x 764 x 815 x 962 = 132338029393440

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

361 : 1, 19, 361

764 : 1, 2, 4, 191, 382, 764

815 : 1, 5, 163, 815

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,361,764,815,962, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

361:19x 19

764:2x 2x 191

815:5x 163

962:2x 13x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 132338029393440/(1x8)

LCM = 132338029393440/8

LCM = 16542253674180

Thus, we can understand that the LCM of 612,361,764,815,962 is 16542253674180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 361, 764, 815, 962

1. What is the LCM of 612, 361, 764, 815, 962?

Answer: LCM of 612, 361, 764, 815, 962 is 16542253674180.

2. How to calculate the LCM of 612, 361, 764, 815, 962?

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 612, 361, 764, 815, 962.

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}.