Given numbers are 816,363,726,252

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

The LCM of 816,363,726,252 is 2073456.

Find LCM of 816,363,726,252 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 68 x 1 x 1 x 21 = 2073456

Therefore, the lowest common multiple of 816,363,726,252 is 2073456.

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 363 x 726 x 252 = 54191846016

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

363 : 1, 3, 11, 33, 121, 363

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,363,726,252, is 3.

Now, the common factors can be found like this.

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

363:3x 11x 11

726:2x 3x 11x 11

252:2x 2x 3x 3x 7

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 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 54191846016/(3x8712)

LCM = 54191846016/26136

LCM = 2073456

Thus, we can understand that the LCM of 816,363,726,252 is 2073456.

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

• LCM of 746, 768, 119, 107
• LCM of 957, 459, 563, 765
• LCM of 417, 193, 341, 812
• LCM of 884, 460, 698, 394
• LCM of 595, 620, 633, 715

1. What is the LCM of 816, 363, 726, 252?

Answer: LCM of 816, 363, 726, 252 is 2073456.

2. How to calculate the LCM of 816, 363, 726, 252?

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, 363, 726, 252.

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}.