Given numbers are 302,416,232,260,204

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

The LCM of 302,416,232,260,204 is 464524320.

Find LCM of 302,416,232,260,204 with Prime Factorization

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

2 x 2 x 2 x 13 x 151 x 4 x 29 x 5 x 51 = 464524320

Therefore, the lowest common multiple of 302,416,232,260,204 is 464524320.

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.

302 x 416 x 232 x 260 x 204 = 1545936936960

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.

302 : 1, 2, 151, 302

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

232 : 1, 2, 4, 8, 29, 58, 116, 232

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,416,232,260,204, is 2.

Now, the common factors can be found like this.

302:2x 151

416:2x 2x 2x 2x 2x 13

232:2x 2x 2x 29

260:2x 2x 5x 13

204:2x 2x 3x 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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 1545936936960/(2x1664)

LCM = 1545936936960/3328

LCM = 464524320

Thus, we can understand that the LCM of 302,416,232,260,204 is 464524320.

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

• LCM of 739, 333, 182, 660, 369
• LCM of 619, 251, 873, 197, 597
• LCM of 419, 929, 493, 459, 973
• LCM of 159, 648, 632, 636, 622
• LCM of 859, 555, 589, 723, 159

1. What is the LCM of 302, 416, 232, 260, 204?

Answer: LCM of 302, 416, 232, 260, 204 is 464524320.

2. How to calculate the LCM of 302, 416, 232, 260, 204?

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 302, 416, 232, 260, 204.

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}.