Given numbers are 729,726,816,444

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

The LCM of 729,726,816,444 is 887735376.

Find LCM of 729,726,816,444 with Prime Factorization

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

2 x 2 x 3 x 243 x 121 x 68 x 37 = 887735376

Therefore, the lowest common multiple of 729,726,816,444 is 887735376.

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.

729 x 726 x 816 x 444 = 191750841216

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.

729 : 1, 3, 9, 27, 81, 243, 729

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

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,726,816,444, is 3.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

726:2x 3x 11x 11

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

444:2x 2x 3x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 191750841216/(3x72)

LCM = 191750841216/216

LCM = 887735376

Thus, we can understand that the LCM of 729,726,816,444 is 887735376.

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

• LCM of 643, 959, 978, 169
• LCM of 417, 415, 821, 100
• LCM of 117, 464, 462, 236
• LCM of 508, 858, 102, 167
• LCM of 936, 724, 924, 776

1. What is the LCM of 729, 726, 816, 444?

Answer: LCM of 729, 726, 816, 444 is 887735376.

2. How to calculate the LCM of 729, 726, 816, 444?

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 729, 726, 816, 444.

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}.