Given numbers are 816,462,490,396

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

The LCM of 816,462,490,396 is 6597360.

Find LCM of 816,462,490,396 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 68 x 1 x 35 x 3 = 6597360

Therefore, the lowest common multiple of 816,462,490,396 is 6597360.

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.

816 x 462 x 490 x 396 = 73151527680

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,462,490,396, is 2.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

462:2x 3x 7x 11

490:2x 5x 7x 7

396:2x 2x 3x 3x 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 2x 2x 3x 3x 7x 11 = 5544

Therefore, the value for common factors is 5544.

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 = 73151527680/(2x5544)

LCM = 73151527680/11088

LCM = 6597360

Thus, we can understand that the LCM of 816,462,490,396 is 6597360.

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

• LCM of 296, 215, 519, 123
• LCM of 914, 474, 944, 289
• LCM of 487, 588, 618, 767
• LCM of 775, 609, 108, 361
• LCM of 892, 728, 163, 615

1. What is the LCM of 816, 462, 490, 396?

Answer: LCM of 816, 462, 490, 396 is 6597360.

2. How to calculate the LCM of 816, 462, 490, 396?

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 816, 462, 490, 396.

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}.