Given numbers are 536,218,660,717,323

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

The LCM of 536,218,660,717,323 is 744175992120.

Find LCM of 536,218,660,717,323 with Prime Factorization

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

2 x 2 x 3 x 134 x 109 x 55 x 239 x 323 = 744175992120

Therefore, the lowest common multiple of 536,218,660,717,323 is 744175992120.

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.

536 x 218 x 660 x 717 x 323 = 17860223810880

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

218 : 1, 2, 109, 218

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

717 : 1, 3, 239, 717

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,218,660,717,323, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

218:2x 109

660:2x 2x 3x 5x 11

717:3x 239

323:17x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 17860223810880/(1x24)

LCM = 17860223810880/24

LCM = 744175992120

Thus, we can understand that the LCM of 536,218,660,717,323 is 744175992120.

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

• LCM of 163, 739, 617, 498, 311
• LCM of 532, 457, 550, 429, 921
• LCM of 460, 938, 327, 174, 411
• LCM of 412, 578, 954, 413, 934
• LCM of 303, 559, 969, 627, 398

1. What is the LCM of 536, 218, 660, 717, 323?

Answer: LCM of 536, 218, 660, 717, 323 is 744175992120.

2. How to calculate the LCM of 536, 218, 660, 717, 323?

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 536, 218, 660, 717, 323.

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}.