Given numbers are 729,817,583,528,684

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

The LCM of 729,817,583,528,684 is 5555691504.

Find LCM of 729,817,583,528,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 19 x 81 x 43 x 53 x 4 x 1 = 5555691504

Therefore, the lowest common multiple of 729,817,583,528,684 is 5555691504.

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 817 x 583 x 528 x 684 = 125403068628288

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

817 : 1, 19, 43, 817

583 : 1, 11, 53, 583

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,817,583,528,684, is 1.

Now, the common factors can be found like this.

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

817:19x 43

583:11x 53

528:2x 2x 2x 2x 3x 11

684:2x 2x 3x 3x 19

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 3x 3x 3x 11x 19 = 22572

Therefore, the value for common factors is 22572.

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 = 125403068628288/(1x22572)

LCM = 125403068628288/22572

LCM = 5555691504

Thus, we can understand that the LCM of 729,817,583,528,684 is 5555691504.

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

• LCM of 815, 400, 882, 169, 114
• LCM of 940, 971, 978, 714, 637
• LCM of 793, 268, 101, 188, 536
• LCM of 383, 708, 842, 326, 788
• LCM of 658, 574, 955, 994, 676

1. What is the LCM of 729, 817, 583, 528, 684?

Answer: LCM of 729, 817, 583, 528, 684 is 5555691504.

2. How to calculate the LCM of 729, 817, 583, 528, 684?

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, 817, 583, 528, 684.

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}.