Given numbers are 720,194,564,390,608

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

The LCM of 720,194,564,390,608 is 1621545120.

Find LCM of 720,194,564,390,608 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 3 x 97 x 47 x 13 x 38 = 1621545120

Therefore, the lowest common multiple of 720,194,564,390,608 is 1621545120.

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.

720 x 194 x 564 x 390 x 608 = 18680199782400

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

194 : 1, 2, 97, 194

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,194,564,390,608, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

194:2x 97

564:2x 2x 3x 47

390:2x 3x 5x 13

608:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 18680199782400/(2x5760)

LCM = 18680199782400/11520

LCM = 1621545120

Thus, we can understand that the LCM of 720,194,564,390,608 is 1621545120.

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

• LCM of 822, 818, 152, 794, 409
• LCM of 534, 813, 702, 605, 438
• LCM of 949, 428, 662, 357, 681
• LCM of 839, 997, 374, 822, 691
• LCM of 647, 718, 908, 268, 306

1. What is the LCM of 720, 194, 564, 390, 608?

Answer: LCM of 720, 194, 564, 390, 608 is 1621545120.

2. How to calculate the LCM of 720, 194, 564, 390, 608?

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 720, 194, 564, 390, 608.

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}.