Given numbers are 715,228,406,271,272

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

The LCM of 715,228,406,271,272 is 609838909680.

Find LCM of 715,228,406,271,272 with Prime Factorization

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

2 x 2 x 715 x 57 x 203 x 271 x 68 = 609838909680

Therefore, the lowest common multiple of 715,228,406,271,272 is 609838909680.

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.

715 x 228 x 406 x 271 x 272 = 4878711277440

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

406 : 1, 2, 7, 14, 29, 58, 203, 406

271 : 1, 271

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,228,406,271,272, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

228:2x 2x 3x 19

406:2x 7x 29

271:271

272:2x 2x 2x 2x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 4878711277440/(1x8)

LCM = 4878711277440/8

LCM = 609838909680

Thus, we can understand that the LCM of 715,228,406,271,272 is 609838909680.

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

• LCM of 446, 197, 508, 283, 963
• LCM of 301, 862, 851, 513, 535
• LCM of 366, 400, 301, 541, 759
• LCM of 420, 717, 601, 969, 212
• LCM of 728, 831, 997, 872, 182

1. What is the LCM of 715, 228, 406, 271, 272?

Answer: LCM of 715, 228, 406, 271, 272 is 609838909680.

2. How to calculate the LCM of 715, 228, 406, 271, 272?

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 715, 228, 406, 271, 272.

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}.