Given numbers are 730,374,586,726,440

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

The LCM of 730,374,586,726,440 is 5279660760.

Find LCM of 730,374,586,726,440 with Prime Factorization

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

2 x 5 x 11 x 73 x 17 x 293 x 33 x 4 = 5279660760

Therefore, the lowest common multiple of 730,374,586,726,440 is 5279660760.

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.

730 x 374 x 586 x 726 x 440 = 51107116156800

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

374 : 1, 2, 11, 17, 22, 34, 187, 374

586 : 1, 2, 293, 586

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,374,586,726,440, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

374:2x 11x 17

586:2x 293

726:2x 3x 11x 11

440:2x 2x 2x 5x 11

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 5x 11x 11 = 4840

Therefore, the value for common factors is 4840.

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 = 51107116156800/(2x4840)

LCM = 51107116156800/9680

LCM = 5279660760

Thus, we can understand that the LCM of 730,374,586,726,440 is 5279660760.

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

• LCM of 785, 233, 714, 549, 540
• LCM of 781, 722, 200, 501, 750
• LCM of 663, 748, 420, 425, 478
• LCM of 939, 801, 332, 761, 125
• LCM of 310, 147, 747, 179, 407

1. What is the LCM of 730, 374, 586, 726, 440?

Answer: LCM of 730, 374, 586, 726, 440 is 5279660760.

2. How to calculate the LCM of 730, 374, 586, 726, 440?

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 730, 374, 586, 726, 440.

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}.