Given numbers are 726,738,996,282,570

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

The LCM of 726,738,996,282,570 is 66186784620.

Find LCM of 726,738,996,282,570 with Prime Factorization

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

2 x 3 x 121 x 123 x 166 x 47 x 95 = 66186784620

Therefore, the lowest common multiple of 726,738,996,282,570 is 66186784620.

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.

726 x 738 x 996 x 282 x 570 = 85778072867520

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.

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

282 : 1, 2, 3, 6, 47, 94, 141, 282

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,738,996,282,570, is 6.

Now, the common factors can be found like this.

726:2x 3x 11x 11

738:2x 3x 3x 41

996:2x 2x 3x 83

282:2x 3x 47

570:2x 3x 5x 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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 85778072867520/(6x216)

LCM = 85778072867520/1296

LCM = 66186784620

Thus, we can understand that the LCM of 726,738,996,282,570 is 66186784620.

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

• LCM of 347, 364, 977, 195, 557
• LCM of 982, 141, 303, 474, 575
• LCM of 818, 920, 417, 350, 184
• LCM of 655, 762, 986, 135, 418
• LCM of 743, 764, 106, 669, 224

1. What is the LCM of 726, 738, 996, 282, 570?

Answer: LCM of 726, 738, 996, 282, 570 is 66186784620.

2. How to calculate the LCM of 726, 738, 996, 282, 570?

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 726, 738, 996, 282, 570.

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}.