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LCM of 586, 362, 478, 964

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


Find the LCM of 586, 362, 478, 964 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 586, 362, 478, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,362,478,964

Given numbers are 586,362,478,964

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

The LCM of 586,362,478,964 is 12218591068.

Find LCM of 586,362,478,964 with Prime Factorization


2 586, 362, 478, 964
293, 181, 239, 482

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

2 x 293 x 181 x 239 x 482 = 12218591068

Therefore, the lowest common multiple of 586,362,478,964 is 12218591068.

LCM Formula to Find Lowest Common Multiple of 586,362,478,964

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.

586 x 362 x 478 x 964 = 97748728544

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.

586 : 1, 2, 293, 586

362 : 1, 2, 181, 362

478 : 1, 2, 239, 478

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,362,478,964, is 2.

Now, the common factors can be found like this.

586:2x 293

362:2x 181

478:2x 239

964:2x 2x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 97748728544/(2x4)

LCM = 97748728544/8

LCM = 12218591068

Thus, we can understand that the LCM of 586,362,478,964 is 12218591068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 362, 478, 964

1. What is the LCM of 586, 362, 478, 964?

Answer: LCM of 586, 362, 478, 964 is 12218591068.

2. How to calculate the LCM of 586, 362, 478, 964?

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 586, 362, 478, 964.

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}.