Given numbers are 284,106,107,327,624

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

The LCM of 284,106,107,327,624 is 27386030256.

Find LCM of 284,106,107,327,624 with Prime Factorization

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

2 x 2 x 3 x 71 x 53 x 107 x 109 x 52 = 27386030256

Therefore, the lowest common multiple of 284,106,107,327,624 is 27386030256.

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 106 x 107 x 327 x 624 = 657264726144

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

106 : 1, 2, 53, 106

107 : 1, 107

327 : 1, 3, 109, 327

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,106,107,327,624, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

106:2x 53

107:107

327:3x 109

624:2x 2x 2x 2x 3x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 657264726144/(1x24)

LCM = 657264726144/24

LCM = 27386030256

Thus, we can understand that the LCM of 284,106,107,327,624 is 27386030256.

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

• LCM of 910, 156, 647, 796, 986
• LCM of 339, 851, 289, 194, 422
• LCM of 581, 884, 500, 209, 556
• LCM of 867, 502, 283, 770, 904
• LCM of 240, 687, 614, 460, 228

1. What is the LCM of 284, 106, 107, 327, 624?

Answer: LCM of 284, 106, 107, 327, 624 is 27386030256.

2. How to calculate the LCM of 284, 106, 107, 327, 624?

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, 106, 107, 327, 624.

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}.