Given numbers are 334,450,187,969,816

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

The LCM of 334,450,187,969,816 is 2136063600.

Find LCM of 334,450,187,969,816 with Prime Factorization

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

2 x 3 x 17 x 167 x 75 x 11 x 19 x 8 = 2136063600

Therefore, the lowest common multiple of 334,450,187,969,816 is 2136063600.

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.

334 x 450 x 187 x 969 x 816 = 22223605694400

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.

334 : 1, 2, 167, 334

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

187 : 1, 11, 17, 187

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,450,187,969,816, is 1.

Now, the common factors can be found like this.

334:2x 167

450:2x 3x 3x 5x 5

187:11x 17

969:3x 17x 19

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

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 3x 3x 17x 17 = 10404

Therefore, the value for common factors is 10404.

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 = 22223605694400/(1x10404)

LCM = 22223605694400/10404

LCM = 2136063600

Thus, we can understand that the LCM of 334,450,187,969,816 is 2136063600.

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

• LCM of 740, 158, 583, 960, 420
• LCM of 898, 252, 357, 917, 654
• LCM of 838, 556, 603, 406, 261
• LCM of 467, 474, 142, 340, 900
• LCM of 295, 468, 279, 980, 164

1. What is the LCM of 334, 450, 187, 969, 816?

Answer: LCM of 334, 450, 187, 969, 816 is 2136063600.

2. How to calculate the LCM of 334, 450, 187, 969, 816?

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 334, 450, 187, 969, 816.

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}.