Given numbers are 585,936,336,753

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

The LCM of 585,936,336,753 is 16445520.

Find LCM of 585,936,336,753 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 5 x 1 x 14 x 251 = 16445520

Therefore, the lowest common multiple of 585,936,336,753 is 16445520.

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.

585 x 936 x 336 x 753 = 138537060480

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

753 : 1, 3, 251, 753

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,936,336,753, is 3.

Now, the common factors can be found like this.

585:3x 3x 5x 13

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

336:2x 2x 2x 2x 3x 7

753:3x 251

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 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 138537060480/(3x2808)

LCM = 138537060480/8424

LCM = 16445520

Thus, we can understand that the LCM of 585,936,336,753 is 16445520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 779, 236, 301, 522
• LCM of 442, 536, 576, 951
• LCM of 139, 550, 142, 176
• LCM of 128, 646, 794, 559
• LCM of 895, 549, 865, 728

1. What is the LCM of 585, 936, 336, 753?

Answer: LCM of 585, 936, 336, 753 is 16445520.

2. How to calculate the LCM of 585, 936, 336, 753?

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 585, 936, 336, 753.

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}.