Given numbers are 432,717,528,366

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

The LCM of 432,717,528,366 is 69279408.

Find LCM of 432,717,528,366 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 9 x 239 x 11 x 61 = 69279408

Therefore, the lowest common multiple of 432,717,528,366 is 69279408.

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.

432 x 717 x 528 x 366 = 59857408512

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

717 : 1, 3, 239, 717

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

366 : 1, 2, 3, 6, 61, 122, 183, 366

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,717,528,366, is 3.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

717:3x 239

528:2x 2x 2x 2x 3x 11

366:2x 3x 61

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 3 = 288

Therefore, the value for common factors is 288.

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 = 59857408512/(3x288)

LCM = 59857408512/864

LCM = 69279408

Thus, we can understand that the LCM of 432,717,528,366 is 69279408.

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

• LCM of 704, 458, 713, 935
• LCM of 324, 866, 496, 753
• LCM of 410, 373, 730, 497
• LCM of 363, 592, 748, 685
• LCM of 339, 635, 104, 481

1. What is the LCM of 432, 717, 528, 366?

Answer: LCM of 432, 717, 528, 366 is 69279408.

2. How to calculate the LCM of 432, 717, 528, 366?

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 432, 717, 528, 366.

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}.