Given numbers are 628,462,234,836,416

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

The LCM of 628,462,234,836,416 is 859963104.

Find LCM of 628,462,234,836,416 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 157 x 7 x 3 x 19 x 8 = 859963104

Therefore, the lowest common multiple of 628,462,234,836,416 is 859963104.

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.

628 x 462 x 234 x 836 x 416 = 23611146983424

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.

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

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,462,234,836,416, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

462:2x 3x 7x 11

234:2x 3x 3x 13

836:2x 2x 11x 19

416:2x 2x 2x 2x 2x 13

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 3x 11x 13 = 13728

Therefore, the value for common factors is 13728.

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 = 23611146983424/(2x13728)

LCM = 23611146983424/27456

LCM = 859963104

Thus, we can understand that the LCM of 628,462,234,836,416 is 859963104.

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

• LCM of 194, 741, 923, 301, 423
• LCM of 743, 331, 518, 707, 893
• LCM of 493, 124, 954, 983, 441
• LCM of 906, 535, 832, 465, 227
• LCM of 185, 566, 137, 153, 400

1. What is the LCM of 628, 462, 234, 836, 416?

Answer: LCM of 628, 462, 234, 836, 416 is 859963104.

2. How to calculate the LCM of 628, 462, 234, 836, 416?

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 628, 462, 234, 836, 416.

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}.