Given numbers are 720,519,717,786,552

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

The LCM of 720,519,717,786,552 is 89696527920.

Find LCM of 720,519,717,786,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 30 x 173 x 239 x 131 x 23 = 89696527920

Therefore, the lowest common multiple of 720,519,717,786,552 is 89696527920.

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 519 x 717 x 786 x 552 = 116246700184320

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

519 : 1, 3, 173, 519

717 : 1, 3, 239, 717

786 : 1, 2, 3, 6, 131, 262, 393, 786

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,519,717,786,552, is 3.

Now, the common factors can be found like this.

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

519:3x 173

717:3x 239

786:2x 3x 131

552:2x 2x 2x 3x 23

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 116246700184320/(3x432)

LCM = 116246700184320/1296

LCM = 89696527920

Thus, we can understand that the LCM of 720,519,717,786,552 is 89696527920.

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

• LCM of 502, 566, 993, 408, 972
• LCM of 918, 572, 927, 867, 859
• LCM of 144, 234, 285, 247, 977
• LCM of 596, 894, 983, 446, 885
• LCM of 265, 853, 915, 977, 452

1. What is the LCM of 720, 519, 717, 786, 552?

Answer: LCM of 720, 519, 717, 786, 552 is 89696527920.

2. How to calculate the LCM of 720, 519, 717, 786, 552?

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, 519, 717, 786, 552.

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}.