Given numbers are 816,138,456,306

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

The LCM of 816,138,456,306 is 1069776.

Find LCM of 816,138,456,306 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 2 x 23 x 19 x 3 = 1069776

Therefore, the lowest common multiple of 816,138,456,306 is 1069776.

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 138 x 456 x 306 = 15712869888

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,138,456,306, is 6.

Now, the common factors can be found like this.

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

138:2x 3x 23

456:2x 2x 2x 3x 19

306:2x 3x 3x 17

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 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 15712869888/(6x2448)

LCM = 15712869888/14688

LCM = 1069776

Thus, we can understand that the LCM of 816,138,456,306 is 1069776.

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

• LCM of 650, 694, 125, 667
• LCM of 150, 739, 232, 856
• LCM of 793, 228, 732, 425
• LCM of 218, 186, 464, 359
• LCM of 835, 753, 215, 469

1. What is the LCM of 816, 138, 456, 306?

Answer: LCM of 816, 138, 456, 306 is 1069776.

2. How to calculate the LCM of 816, 138, 456, 306?

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, 138, 456, 306.

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}.