Given numbers are 456,646,628,388,864

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

The LCM of 456,646,628,388,864 is 4249987488.

Find LCM of 456,646,628,388,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 1 x 17 x 157 x 97 x 36 = 4249987488

Therefore, the lowest common multiple of 456,646,628,388,864 is 4249987488.

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.

456 x 646 x 628 x 388 x 864 = 62015817424896

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.

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

628 : 1, 2, 4, 157, 314, 628

388 : 1, 2, 4, 97, 194, 388

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,646,628,388,864, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

646:2x 17x 19

628:2x 2x 157

388:2x 2x 97

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 3x 19 = 7296

Therefore, the value for common factors is 7296.

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 = 62015817424896/(2x7296)

LCM = 62015817424896/14592

LCM = 4249987488

Thus, we can understand that the LCM of 456,646,628,388,864 is 4249987488.

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

• LCM of 605, 488, 156, 956, 600
• LCM of 908, 943, 325, 640, 807
• LCM of 990, 619, 540, 969, 439
• LCM of 824, 449, 842, 871, 397
• LCM of 659, 820, 485, 751, 124

1. What is the LCM of 456, 646, 628, 388, 864?

Answer: LCM of 456, 646, 628, 388, 864 is 4249987488.

2. How to calculate the LCM of 456, 646, 628, 388, 864?

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 456, 646, 628, 388, 864.

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}.