Given numbers are 894,311,468,183,816

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

The LCM of 894,311,468,183,816 is 89956232496.

Find LCM of 894,311,468,183,816 with Prime Factorization

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

2 x 2 x 3 x 149 x 311 x 39 x 61 x 68 = 89956232496

Therefore, the lowest common multiple of 894,311,468,183,816 is 89956232496.

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.

894 x 311 x 468 x 183 x 816 = 19430546219136

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

311 : 1, 311

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

183 : 1, 3, 61, 183

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 894,311,468,183,816, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

311:311

468:2x 2x 3x 3x 13

183:3x 61

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 19430546219136/(1x216)

LCM = 19430546219136/216

LCM = 89956232496

Thus, we can understand that the LCM of 894,311,468,183,816 is 89956232496.

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

• LCM of 425, 193, 747, 241, 468
• LCM of 303, 874, 300, 963, 411
• LCM of 757, 814, 244, 915, 915
• LCM of 352, 525, 734, 905, 965
• LCM of 959, 761, 957, 894, 934

1. What is the LCM of 894, 311, 468, 183, 816?

Answer: LCM of 894, 311, 468, 183, 816 is 89956232496.

2. How to calculate the LCM of 894, 311, 468, 183, 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 894, 311, 468, 183, 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}.