Given numbers are 221,493,272,460

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

The LCM of 221,493,272,460 is 11792560.

Find LCM of 221,493,272,460 with Prime Factorization

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

2 x 2 x 17 x 13 x 29 x 4 x 115 = 11792560

Therefore, the lowest common multiple of 221,493,272,460 is 11792560.

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.

221 x 493 x 272 x 460 = 13632199360

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.

221 : 1, 13, 17, 221

493 : 1, 17, 29, 493

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,493,272,460, is 1.

Now, the common factors can be found like this.

221:13x 17

493:17x 29

272:2x 2x 2x 2x 17

460:2x 2x 5x 23

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 13632199360/(1x1156)

LCM = 13632199360/1156

LCM = 11792560

Thus, we can understand that the LCM of 221,493,272,460 is 11792560.

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

• LCM of 355, 669, 784, 317
• LCM of 879, 389, 580, 740
• LCM of 448, 727, 517, 521
• LCM of 380, 340, 853, 589
• LCM of 236, 436, 562, 423

1. What is the LCM of 221, 493, 272, 460?

Answer: LCM of 221, 493, 272, 460 is 11792560.

2. How to calculate the LCM of 221, 493, 272, 460?

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 221, 493, 272, 460.

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}.