Given numbers are 520,428,591,900

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

The LCM of 520,428,591,900 is 493248600.

Find LCM of 520,428,591,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 26 x 107 x 197 x 15 = 493248600

Therefore, the lowest common multiple of 520,428,591,900 is 493248600.

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 428 x 591 x 900 = 118379664000

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

428 : 1, 2, 4, 107, 214, 428

591 : 1, 3, 197, 591

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,428,591,900, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

428:2x 2x 107

591:3x 197

900:2x 2x 3x 3x 5x 5

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 118379664000/(1x240)

LCM = 118379664000/240

LCM = 493248600

Thus, we can understand that the LCM of 520,428,591,900 is 493248600.

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

• LCM of 970, 803, 620, 659
• LCM of 128, 287, 572, 966
• LCM of 477, 704, 813, 557
• LCM of 572, 329, 129, 404
• LCM of 648, 485, 354, 520

1. What is the LCM of 520, 428, 591, 900?

Answer: LCM of 520, 428, 591, 900 is 493248600.

2. How to calculate the LCM of 520, 428, 591, 900?

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, 428, 591, 900.

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}.