Given numbers are 282,363,240,435,790

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

The LCM of 282,363,240,435,790 is 3126940080.

Find LCM of 282,363,240,435,790 with Prime Factorization

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

2 x 3 x 5 x 47 x 121 x 8 x 29 x 79 = 3126940080

Therefore, the lowest common multiple of 282,363,240,435,790 is 3126940080.

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.

282 x 363 x 240 x 435 x 790 = 8442738216000

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

435 : 1, 3, 5, 15, 29, 87, 145, 435

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,363,240,435,790, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

363:3x 11x 11

240:2x 2x 2x 2x 3x 5

435:3x 5x 29

790:2x 5x 79

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 8442738216000/(1x2700)

LCM = 8442738216000/2700

LCM = 3126940080

Thus, we can understand that the LCM of 282,363,240,435,790 is 3126940080.

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

• LCM of 814, 680, 360, 598, 357
• LCM of 741, 242, 855, 145, 838
• LCM of 854, 750, 422, 998, 895
• LCM of 912, 111, 574, 172, 438
• LCM of 809, 795, 399, 489, 252

1. What is the LCM of 282, 363, 240, 435, 790?

Answer: LCM of 282, 363, 240, 435, 790 is 3126940080.

2. How to calculate the LCM of 282, 363, 240, 435, 790?

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 282, 363, 240, 435, 790.

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}.