Given numbers are 312,198,451,816,828

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

The LCM of 312,198,451,816,828 is 330110352.

Find LCM of 312,198,451,816,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 13 x 1 x 41 x 34 x 23 = 330110352

Therefore, the lowest common multiple of 312,198,451,816,828 is 330110352.

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.

312 x 198 x 451 x 816 x 828 = 18824212712448

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

451 : 1, 11, 41, 451

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,198,451,816,828, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

198:2x 3x 3x 11

451:11x 41

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

828:2x 2x 3x 3x 23

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 3x 3x 3x 3x 11 = 57024

Therefore, the value for common factors is 57024.

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 = 18824212712448/(1x57024)

LCM = 18824212712448/57024

LCM = 330110352

Thus, we can understand that the LCM of 312,198,451,816,828 is 330110352.

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

• LCM of 294, 637, 897, 312, 606
• LCM of 744, 942, 618, 987, 702
• LCM of 894, 935, 590, 268, 786
• LCM of 821, 609, 471, 516, 533
• LCM of 348, 332, 616, 985, 183

1. What is the LCM of 312, 198, 451, 816, 828?

Answer: LCM of 312, 198, 451, 816, 828 is 330110352.

2. How to calculate the LCM of 312, 198, 451, 816, 828?

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 312, 198, 451, 816, 828.

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}.