Given numbers are 311,406,816,552,702

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

The LCM of 311,406,816,552,702 is 138630976848.

Find LCM of 311,406,816,552,702 with Prime Factorization

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

2 x 2 x 2 x 3 x 311 x 203 x 34 x 23 x 117 = 138630976848

Therefore, the lowest common multiple of 311,406,816,552,702 is 138630976848.

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.

311 x 406 x 816 x 552 x 702 = 39925721332224

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.

311 : 1, 311

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,406,816,552,702, is 1.

Now, the common factors can be found like this.

311:311

406:2x 7x 29

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

552:2x 2x 2x 3x 23

702:2x 3x 3x 3x 13

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 39925721332224/(1x288)

LCM = 39925721332224/288

LCM = 138630976848

Thus, we can understand that the LCM of 311,406,816,552,702 is 138630976848.

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

• LCM of 943, 614, 335, 222, 207
• LCM of 238, 784, 613, 248, 450
• LCM of 740, 502, 839, 729, 313
• LCM of 834, 461, 110, 745, 508
• LCM of 393, 178, 199, 922, 782

1. What is the LCM of 311, 406, 816, 552, 702?

Answer: LCM of 311, 406, 816, 552, 702 is 138630976848.

2. How to calculate the LCM of 311, 406, 816, 552, 702?

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 311, 406, 816, 552, 702.

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}.