Given numbers are 258,450,482,416,908

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

The LCM of 258,450,482,416,908 is 220184733600.

Find LCM of 258,450,482,416,908 with Prime Factorization

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

2 x 2 x 3 x 43 x 75 x 241 x 104 x 227 = 220184733600

Therefore, the lowest common multiple of 258,450,482,416,908 is 220184733600.

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.

258 x 450 x 482 x 416 x 908 = 21137734425600

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

482 : 1, 2, 241, 482

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

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,450,482,416,908, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

450:2x 3x 3x 5x 5

482:2x 241

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

908:2x 2x 227

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 3 = 48

Therefore, the value for common factors is 48.

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 = 21137734425600/(2x48)

LCM = 21137734425600/96

LCM = 220184733600

Thus, we can understand that the LCM of 258,450,482,416,908 is 220184733600.

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

• LCM of 708, 653, 538, 811, 912
• LCM of 667, 869, 168, 983, 254
• LCM of 949, 169, 368, 139, 222
• LCM of 820, 714, 664, 915, 694
• LCM of 333, 571, 668, 396, 720

1. What is the LCM of 258, 450, 482, 416, 908?

Answer: LCM of 258, 450, 482, 416, 908 is 220184733600.

2. How to calculate the LCM of 258, 450, 482, 416, 908?

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 258, 450, 482, 416, 908.

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}.