Given numbers are 628,336,351,366,462

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

The LCM of 628,336,351,366,462 is 4141401264.

Find LCM of 628,336,351,366,462 with Prime Factorization

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

2 x 2 x 3 x 7 x 157 x 4 x 117 x 61 x 11 = 4141401264

Therefore, the lowest common multiple of 628,336,351,366,462 is 4141401264.

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 336 x 351 x 366 x 462 = 12523597422336

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

351 : 1, 3, 9, 13, 27, 39, 117, 351

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,336,351,366,462, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

336:2x 2x 2x 2x 3x 7

351:3x 3x 3x 13

366:2x 3x 61

462:2x 3x 7x 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 2x 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 12523597422336/(1x3024)

LCM = 12523597422336/3024

LCM = 4141401264

Thus, we can understand that the LCM of 628,336,351,366,462 is 4141401264.

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

• LCM of 789, 325, 383, 943, 227
• LCM of 808, 682, 725, 387, 591
• LCM of 754, 865, 740, 991, 726
• LCM of 348, 629, 715, 777, 424
• LCM of 152, 407, 755, 721, 397

1. What is the LCM of 628, 336, 351, 366, 462?

Answer: LCM of 628, 336, 351, 366, 462 is 4141401264.

2. How to calculate the LCM of 628, 336, 351, 366, 462?

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, 336, 351, 366, 462.

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}.