Given numbers are 522,424,312,440

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

The LCM of 522,424,312,440 is 79124760.

Find LCM of 522,424,312,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 87 x 53 x 13 x 55 = 79124760

Therefore, the lowest common multiple of 522,424,312,440 is 79124760.

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.

522 x 424 x 312 x 440 = 30383907840

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,424,312,440, is 2.

Now, the common factors can be found like this.

522:2x 3x 3x 29

424:2x 2x 2x 53

312:2x 2x 2x 3x 13

440:2x 2x 2x 5x 11

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 3 = 192

Therefore, the value for common factors is 192.

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 = 30383907840/(2x192)

LCM = 30383907840/384

LCM = 79124760

Thus, we can understand that the LCM of 522,424,312,440 is 79124760.

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

• LCM of 497, 299, 240, 403
• LCM of 369, 749, 146, 247
• LCM of 871, 814, 295, 680
• LCM of 258, 787, 152, 100
• LCM of 739, 682, 687, 106

1. What is the LCM of 522, 424, 312, 440?

Answer: LCM of 522, 424, 312, 440 is 79124760.

2. How to calculate the LCM of 522, 424, 312, 440?

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 522, 424, 312, 440.

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}.