Given numbers are 513,415,112,730,730

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

The LCM of 513,415,112,730,730 is 1740629520.

Find LCM of 513,415,112,730,730 with Prime Factorization

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

2 x 5 x 73 x 513 x 83 x 56 x 1 x 1 = 1740629520

Therefore, the lowest common multiple of 513,415,112,730,730 is 1740629520.

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.

513 x 415 x 112 x 730 x 730 = 12706595496000

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

415 : 1, 5, 83, 415

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

730 : 1, 2, 5, 10, 73, 146, 365, 730

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,415,112,730,730, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

415:5x 83

112:2x 2x 2x 2x 7

730:2x 5x 73

730:2x 5x 73

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 5x 5x 73 = 7300

Therefore, the value for common factors is 7300.

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 = 12706595496000/(1x7300)

LCM = 12706595496000/7300

LCM = 1740629520

Thus, we can understand that the LCM of 513,415,112,730,730 is 1740629520.

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

• LCM of 331, 125, 823, 358, 463
• LCM of 548, 136, 274, 225, 464
• LCM of 866, 875, 522, 186, 211
• LCM of 865, 161, 371, 297, 568
• LCM of 363, 631, 342, 723, 404

1. What is the LCM of 513, 415, 112, 730, 730?

Answer: LCM of 513, 415, 112, 730, 730 is 1740629520.

2. How to calculate the LCM of 513, 415, 112, 730, 730?

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 513, 415, 112, 730, 730.

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}.