Given numbers are 780,724,482,231,415

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

The LCM of 780,724,482,231,415 is 217449812580.

Find LCM of 780,724,482,231,415 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 181 x 241 x 77 x 83 = 217449812580

Therefore, the lowest common multiple of 780,724,482,231,415 is 217449812580.

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.

780 x 724 x 482 x 231 x 415 = 26093977509600

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.

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

724 : 1, 2, 4, 181, 362, 724

482 : 1, 2, 241, 482

231 : 1, 3, 7, 11, 21, 33, 77, 231

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,724,482,231,415, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

724:2x 2x 181

482:2x 241

231:3x 7x 11

415:5x 83

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 5 = 120

Therefore, the value for common factors is 120.

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 = 26093977509600/(1x120)

LCM = 26093977509600/120

LCM = 217449812580

Thus, we can understand that the LCM of 780,724,482,231,415 is 217449812580.

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

• LCM of 787, 719, 551, 608, 844
• LCM of 102, 496, 210, 569, 449
• LCM of 354, 264, 985, 252, 522
• LCM of 850, 114, 908, 560, 843
• LCM of 330, 281, 739, 541, 292

1. What is the LCM of 780, 724, 482, 231, 415?

Answer: LCM of 780, 724, 482, 231, 415 is 217449812580.

2. How to calculate the LCM of 780, 724, 482, 231, 415?

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 780, 724, 482, 231, 415.

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}.