Given numbers are 816,299,493,321,697

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

The LCM of 816,299,493,321,697 is 31040376432.

Find LCM of 816,299,493,321,697 with Prime Factorization

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

3 x 17 x 16 x 299 x 29 x 107 x 41 = 31040376432

Therefore, the lowest common multiple of 816,299,493,321,697 is 31040376432.

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 299 x 493 x 321 x 697 = 26912006366544

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

299 : 1, 13, 23, 299

493 : 1, 17, 29, 493

321 : 1, 3, 107, 321

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,299,493,321,697, is 1.

Now, the common factors can be found like this.

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

299:13x 23

493:17x 29

321:3x 107

697:17x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 17x 17 = 867

Therefore, the value for common factors is 867.

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 = 26912006366544/(1x867)

LCM = 26912006366544/867

LCM = 31040376432

Thus, we can understand that the LCM of 816,299,493,321,697 is 31040376432.

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

• LCM of 450, 875, 409, 853, 550
• LCM of 316, 908, 509, 508, 112
• LCM of 747, 110, 222, 295, 703
• LCM of 222, 172, 151, 916, 128
• LCM of 638, 465, 451, 434, 741

1. What is the LCM of 816, 299, 493, 321, 697?

Answer: LCM of 816, 299, 493, 321, 697 is 31040376432.

2. How to calculate the LCM of 816, 299, 493, 321, 697?

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, 299, 493, 321, 697.

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}.