Given numbers are 432,413,272,920,779

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

The LCM of 432,413,272,920,779 is 271717755120.

Find LCM of 432,413,272,920,779 with Prime Factorization

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

2 x 2 x 2 x 2 x 27 x 413 x 17 x 115 x 779 = 271717755120

Therefore, the lowest common multiple of 432,413,272,920,779 is 271717755120.

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 413 x 272 x 920 x 779 = 34779872655360

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

413 : 1, 7, 59, 413

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,413,272,920,779, is 1.

Now, the common factors can be found like this.

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

413:7x 59

272:2x 2x 2x 2x 17

920:2x 2x 2x 5x 23

779:19x 41

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 2 = 128

Therefore, the value for common factors is 128.

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 = 34779872655360/(1x128)

LCM = 34779872655360/128

LCM = 271717755120

Thus, we can understand that the LCM of 432,413,272,920,779 is 271717755120.

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

• LCM of 605, 453, 824, 245, 516
• LCM of 260, 151, 240, 243, 520
• LCM of 682, 760, 499, 910, 282
• LCM of 257, 237, 825, 388, 192
• LCM of 773, 123, 861, 561, 604

1. What is the LCM of 432, 413, 272, 920, 779?

Answer: LCM of 432, 413, 272, 920, 779 is 271717755120.

2. How to calculate the LCM of 432, 413, 272, 920, 779?

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, 413, 272, 920, 779.

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}.