Given numbers are 390,572,518,652

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

The LCM of 390,572,518,652 is 362221860.

Find LCM of 390,572,518,652 with Prime Factorization

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

2 x 2 x 13 x 15 x 11 x 259 x 163 = 362221860

Therefore, the lowest common multiple of 390,572,518,652 is 362221860.

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.

390 x 572 x 518 x 652 = 75342146880

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

518 : 1, 2, 7, 14, 37, 74, 259, 518

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,572,518,652, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

572:2x 2x 11x 13

518:2x 7x 37

652:2x 2x 163

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 13 = 104

Therefore, the value for common factors is 104.

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 = 75342146880/(2x104)

LCM = 75342146880/208

LCM = 362221860

Thus, we can understand that the LCM of 390,572,518,652 is 362221860.

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

• LCM of 628, 133, 231, 538
• LCM of 513, 705, 257, 481
• LCM of 315, 826, 754, 703
• LCM of 774, 772, 790, 342
• LCM of 604, 238, 323, 196

1. What is the LCM of 390, 572, 518, 652?

Answer: LCM of 390, 572, 518, 652 is 362221860.

2. How to calculate the LCM of 390, 572, 518, 652?

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 390, 572, 518, 652.

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}.