Given numbers are 816,836,374,214

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

The LCM of 816,836,374,214 is 18248208.

Find LCM of 816,836,374,214 with Prime Factorization

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

2 x 2 x 11 x 17 x 12 x 19 x 1 x 107 = 18248208

Therefore, the lowest common multiple of 816,836,374,214 is 18248208.

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 836 x 374 x 214 = 54598638336

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

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,836,374,214, is 2.

Now, the common factors can be found like this.

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

836:2x 2x 11x 19

374:2x 11x 17

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 54598638336/(2x1496)

LCM = 54598638336/2992

LCM = 18248208

Thus, we can understand that the LCM of 816,836,374,214 is 18248208.

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

• LCM of 843, 717, 692, 829
• LCM of 863, 233, 388, 117
• LCM of 778, 875, 596, 274
• LCM of 119, 604, 392, 590
• LCM of 286, 865, 441, 757

1. What is the LCM of 816, 836, 374, 214?

Answer: LCM of 816, 836, 374, 214 is 18248208.

2. How to calculate the LCM of 816, 836, 374, 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, 836, 374, 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}.