Given numbers are 312,540,532,808,717

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

The LCM of 312,540,532,808,717 is 45075237480.

Find LCM of 312,540,532,808,717 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 45 x 133 x 101 x 239 = 45075237480

Therefore, the lowest common multiple of 312,540,532,808,717 is 45075237480.

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.

312 x 540 x 532 x 808 x 717 = 51926673576960

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

808 : 1, 2, 4, 8, 101, 202, 404, 808

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,540,532,808,717, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

540:2x 2x 3x 3x 3x 5

532:2x 2x 7x 19

808:2x 2x 2x 101

717:3x 239

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 3 = 1152

Therefore, the value for common factors is 1152.

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 = 51926673576960/(1x1152)

LCM = 51926673576960/1152

LCM = 45075237480

Thus, we can understand that the LCM of 312,540,532,808,717 is 45075237480.

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

• LCM of 289, 866, 868, 355, 250
• LCM of 884, 142, 682, 338, 332
• LCM of 326, 319, 790, 764, 451
• LCM of 862, 434, 693, 921, 445
• LCM of 644, 516, 792, 206, 654

1. What is the LCM of 312, 540, 532, 808, 717?

Answer: LCM of 312, 540, 532, 808, 717 is 45075237480.

2. How to calculate the LCM of 312, 540, 532, 808, 717?

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 312, 540, 532, 808, 717.

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}.