Given numbers are 460,260,215,720,221

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

The LCM of 460,260,215,720,221 is 157369680.

Find LCM of 460,260,215,720,221 with Prime Factorization

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

2 x 2 x 5 x 13 x 23 x 1 x 43 x 36 x 17 = 157369680

Therefore, the lowest common multiple of 460,260,215,720,221 is 157369680.

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.

460 x 260 x 215 x 720 x 221 = 4091611680000

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.

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

215 : 1, 5, 43, 215

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,260,215,720,221, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

260:2x 2x 5x 13

215:5x 43

720:2x 2x 2x 2x 3x 3x 5

221:13x 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 2x 2x 5x 5x 5x 13 = 26000

Therefore, the value for common factors is 26000.

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 = 4091611680000/(1x26000)

LCM = 4091611680000/26000

LCM = 157369680

Thus, we can understand that the LCM of 460,260,215,720,221 is 157369680.

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

• LCM of 952, 352, 390, 784, 431
• LCM of 409, 840, 675, 350, 750
• LCM of 997, 282, 736, 764, 344
• LCM of 906, 795, 777, 452, 814
• LCM of 681, 447, 952, 300, 410

1. What is the LCM of 460, 260, 215, 720, 221?

Answer: LCM of 460, 260, 215, 720, 221 is 157369680.

2. How to calculate the LCM of 460, 260, 215, 720, 221?

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 460, 260, 215, 720, 221.

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}.