Given numbers are 520,523,628,780,440

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

The LCM of 520,523,628,780,440 is 1409024760.

Find LCM of 520,523,628,780,440 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 1 x 523 x 157 x 3 x 11 = 1409024760

Therefore, the lowest common multiple of 520,523,628,780,440 is 1409024760.

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.

520 x 523 x 628 x 780 x 440 = 58615430016000

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

523 : 1, 523

628 : 1, 2, 4, 157, 314, 628

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,523,628,780,440, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

523:523

628:2x 2x 157

780:2x 2x 3x 5x 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 2x 5x 5x 13 = 41600

Therefore, the value for common factors is 41600.

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 = 58615430016000/(1x41600)

LCM = 58615430016000/41600

LCM = 1409024760

Thus, we can understand that the LCM of 520,523,628,780,440 is 1409024760.

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

• LCM of 496, 405, 962, 888, 450
• LCM of 334, 402, 321, 330, 345
• LCM of 846, 266, 134, 914, 543
• LCM of 174, 794, 373, 763, 636
• LCM of 449, 271, 615, 771, 107

1. What is the LCM of 520, 523, 628, 780, 440?

Answer: LCM of 520, 523, 628, 780, 440 is 1409024760.

2. How to calculate the LCM of 520, 523, 628, 780, 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 520, 523, 628, 780, 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}.