Given numbers are 592,728,416,115

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

The LCM of 592,728,416,115 is 12390560.

Find LCM of 592,728,416,115 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 37 x 7 x 2 x 115 = 12390560

Therefore, the lowest common multiple of 592,728,416,115 is 12390560.

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.

592 x 728 x 416 x 115 = 20617891840

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,728,416,115, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

728:2x 2x 2x 7x 13

416:2x 2x 2x 2x 2x 13

115:5x 23

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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 20617891840/(1x1664)

LCM = 20617891840/1664

LCM = 12390560

Thus, we can understand that the LCM of 592,728,416,115 is 12390560.

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

• LCM of 504, 234, 630, 755
• LCM of 477, 403, 345, 433
• LCM of 674, 254, 478, 373
• LCM of 390, 156, 796, 678
• LCM of 353, 420, 521, 572

1. What is the LCM of 592, 728, 416, 115?

Answer: LCM of 592, 728, 416, 115 is 12390560.

2. How to calculate the LCM of 592, 728, 416, 115?

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 592, 728, 416, 115.

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}.