Given numbers are 816,354,924,214

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

The LCM of 816,354,924,214 is 396658416.

Find LCM of 816,354,924,214 with Prime Factorization

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

2 x 2 x 3 x 68 x 59 x 77 x 107 = 396658416

Therefore, the lowest common multiple of 816,354,924,214 is 396658416.

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 354 x 924 x 214 = 57118811904

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,354,924,214, is 2.

Now, the common factors can be found like this.

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

354:2x 3x 59

924:2x 2x 3x 7x 11

214:2x 107

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 57118811904/(2x72)

LCM = 57118811904/144

LCM = 396658416

Thus, we can understand that the LCM of 816,354,924,214 is 396658416.

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

• LCM of 464, 185, 710, 431
• LCM of 175, 591, 673, 180
• LCM of 677, 182, 710, 563
• LCM of 424, 860, 366, 311
• LCM of 803, 752, 606, 899

1. What is the LCM of 816, 354, 924, 214?

Answer: LCM of 816, 354, 924, 214 is 396658416.

2. How to calculate the LCM of 816, 354, 924, 214?

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, 354, 924, 214.

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}.