Given numbers are 513,627,752,415,714

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

The LCM of 513,627,752,415,714 is 209567025360.

Find LCM of 513,627,752,415,714 with Prime Factorization

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

2 x 3 x 19 x 9 x 11 x 376 x 415 x 119 = 209567025360

Therefore, the lowest common multiple of 513,627,752,415,714 is 209567025360.

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 627 x 752 x 415 x 714 = 71671922673120

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

415 : 1, 5, 83, 415

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,627,752,415,714, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

627:3x 11x 19

752:2x 2x 2x 2x 47

415:5x 83

714:2x 3x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 71671922673120/(1x342)

LCM = 71671922673120/342

LCM = 209567025360

Thus, we can understand that the LCM of 513,627,752,415,714 is 209567025360.

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

• LCM of 362, 312, 614, 512, 767
• LCM of 114, 416, 621, 807, 648
• LCM of 213, 429, 772, 915, 814
• LCM of 171, 831, 618, 677, 733
• LCM of 526, 522, 304, 403, 841

1. What is the LCM of 513, 627, 752, 415, 714?

Answer: LCM of 513, 627, 752, 415, 714 is 209567025360.

2. How to calculate the LCM of 513, 627, 752, 415, 714?

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, 627, 752, 415, 714.

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}.