Given numbers are 720,133,585,872,340

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

The LCM of 720,133,585,872,340 is 2306762640.

Find LCM of 720,133,585,872,340 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 2 x 133 x 13 x 109 x 17 = 2306762640

Therefore, the lowest common multiple of 720,133,585,872,340 is 2306762640.

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 133 x 585 x 872 x 340 = 16608691008000

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

133 : 1, 7, 19, 133

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

872 : 1, 2, 4, 8, 109, 218, 436, 872

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,133,585,872,340, is 1.

Now, the common factors can be found like this.

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

133:7x 19

585:3x 3x 5x 13

872:2x 2x 2x 109

340:2x 2x 5x 17

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 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 16608691008000/(1x7200)

LCM = 16608691008000/7200

LCM = 2306762640

Thus, we can understand that the LCM of 720,133,585,872,340 is 2306762640.

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

• LCM of 933, 526, 120, 608, 594
• LCM of 546, 910, 859, 315, 597
• LCM of 246, 903, 695, 465, 735
• LCM of 567, 791, 501, 199, 371
• LCM of 942, 784, 421, 699, 577

1. What is the LCM of 720, 133, 585, 872, 340?

Answer: LCM of 720, 133, 585, 872, 340 is 2306762640.

2. How to calculate the LCM of 720, 133, 585, 872, 340?

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, 133, 585, 872, 340.

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}.