Given numbers are 816,724,917,709,814

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

The LCM of 816,724,917,709,814 is 39082173977616.

Find LCM of 816,724,917,709,814 with Prime Factorization

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

2 x 2 x 204 x 181 x 917 x 709 x 407 = 39082173977616

Therefore, the lowest common multiple of 816,724,917,709,814 is 39082173977616.

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 724 x 917 x 709 x 814 = 312657391820928

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

724 : 1, 2, 4, 181, 362, 724

917 : 1, 7, 131, 917

709 : 1, 709

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,724,917,709,814, is 1.

Now, the common factors can be found like this.

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

724:2x 2x 181

917:7x 131

709:709

814:2x 11x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 312657391820928/(1x8)

LCM = 312657391820928/8

LCM = 39082173977616

Thus, we can understand that the LCM of 816,724,917,709,814 is 39082173977616.

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

• LCM of 507, 140, 128, 212, 835
• LCM of 541, 651, 899, 237, 218
• LCM of 558, 488, 842, 778, 624
• LCM of 669, 514, 333, 564, 394
• LCM of 501, 741, 996, 404, 710

1. What is the LCM of 816, 724, 917, 709, 814?

Answer: LCM of 816, 724, 917, 709, 814 is 39082173977616.

2. How to calculate the LCM of 816, 724, 917, 709, 814?

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, 724, 917, 709, 814.

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}.