Given numbers are 342,786,462,489,480

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

The LCM of 342,786,462,489,480 is 44984792160.

Find LCM of 342,786,462,489,480 with Prime Factorization

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

2 x 3 x 57 x 131 x 77 x 163 x 80 = 44984792160

Therefore, the lowest common multiple of 342,786,462,489,480 is 44984792160.

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.

342 x 786 x 462 x 489 x 480 = 29150145319680

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

786 : 1, 2, 3, 6, 131, 262, 393, 786

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

489 : 1, 3, 163, 489

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,786,462,489,480, is 3.

Now, the common factors can be found like this.

342:2x 3x 3x 19

786:2x 3x 131

462:2x 3x 7x 11

489:3x 163

480:2x 2x 2x 2x 2x 3x 5

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 29150145319680/(3x216)

LCM = 29150145319680/648

LCM = 44984792160

Thus, we can understand that the LCM of 342,786,462,489,480 is 44984792160.

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

• LCM of 468, 249, 192, 680, 157
• LCM of 247, 759, 892, 171, 554
• LCM of 849, 862, 455, 492, 100
• LCM of 338, 760, 699, 681, 792
• LCM of 820, 620, 427, 418, 226

1. What is the LCM of 342, 786, 462, 489, 480?

Answer: LCM of 342, 786, 462, 489, 480 is 44984792160.

2. How to calculate the LCM of 342, 786, 462, 489, 480?

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 342, 786, 462, 489, 480.

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}.