Given numbers are 284,281,618,351,363

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

The LCM of 284,281,618,351,363 is 349103635452.

Find LCM of 284,281,618,351,363 with Prime Factorization

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

2 x 3 x 142 x 281 x 103 x 117 x 121 = 349103635452

Therefore, the lowest common multiple of 284,281,618,351,363 is 349103635452.

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.

284 x 281 x 618 x 351 x 363 = 6283865438136

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.

284 : 1, 2, 4, 71, 142, 284

281 : 1, 281

618 : 1, 2, 3, 6, 103, 206, 309, 618

351 : 1, 3, 9, 13, 27, 39, 117, 351

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,281,618,351,363, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

281:281

618:2x 3x 103

351:3x 3x 3x 13

363:3x 11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6283865438136/(1x18)

LCM = 6283865438136/18

LCM = 349103635452

Thus, we can understand that the LCM of 284,281,618,351,363 is 349103635452.

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

• LCM of 728, 875, 609, 902, 300
• LCM of 840, 536, 395, 448, 747
• LCM of 413, 698, 665, 391, 330
• LCM of 782, 728, 116, 262, 752
• LCM of 446, 454, 780, 237, 610

1. What is the LCM of 284, 281, 618, 351, 363?

Answer: LCM of 284, 281, 618, 351, 363 is 349103635452.

2. How to calculate the LCM of 284, 281, 618, 351, 363?

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 284, 281, 618, 351, 363.

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}.