Given numbers are 872,780,292,646,464

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

The LCM of 872,780,292,646,464 is 232543643280.

Find LCM of 872,780,292,646,464 with Prime Factorization

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

2 x 2 x 2 x 109 x 195 x 73 x 323 x 58 = 232543643280

Therefore, the lowest common multiple of 872,780,292,646,464 is 232543643280.

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.

872 x 780 x 292 x 646 x 464 = 59531172679680

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.

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

292 : 1, 2, 4, 73, 146, 292

646 : 1, 2, 17, 19, 34, 38, 323, 646

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,780,292,646,464, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

780:2x 2x 3x 5x 13

292:2x 2x 73

646:2x 17x 19

464:2x 2x 2x 2x 29

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 = 59531172679680/(2x128)

LCM = 59531172679680/256

LCM = 232543643280

Thus, we can understand that the LCM of 872,780,292,646,464 is 232543643280.

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

• LCM of 907, 453, 628, 813, 592
• LCM of 109, 184, 273, 952, 394
• LCM of 350, 275, 707, 462, 479
• LCM of 960, 849, 290, 646, 666
• LCM of 599, 466, 453, 796, 530

1. What is the LCM of 872, 780, 292, 646, 464?

Answer: LCM of 872, 780, 292, 646, 464 is 232543643280.

2. How to calculate the LCM of 872, 780, 292, 646, 464?

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 872, 780, 292, 646, 464.

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}.