Given numbers are 878,576,270,361,493

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

The LCM of 878,576,270,361,493 is 675044470080.

Find LCM of 878,576,270,361,493 with Prime Factorization

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

2 x 3 x 3 x 439 x 32 x 15 x 361 x 493 = 675044470080

Therefore, the lowest common multiple of 878,576,270,361,493 is 675044470080.

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.

878 x 576 x 270 x 361 x 493 = 24301600922880

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.

878 : 1, 2, 439, 878

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

361 : 1, 19, 361

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,576,270,361,493, is 1.

Now, the common factors can be found like this.

878:2x 439

576:2x 2x 2x 2x 2x 2x 3x 3

270:2x 3x 3x 3x 5

361:19x 19

493:17x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 24301600922880/(1x36)

LCM = 24301600922880/36

LCM = 675044470080

Thus, we can understand that the LCM of 878,576,270,361,493 is 675044470080.

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

• LCM of 272, 376, 758, 522, 239
• LCM of 625, 232, 647, 450, 300
• LCM of 270, 791, 523, 633, 927
• LCM of 569, 262, 767, 462, 105
• LCM of 715, 321, 460, 303, 134

1. What is the LCM of 878, 576, 270, 361, 493?

Answer: LCM of 878, 576, 270, 361, 493 is 675044470080.

2. How to calculate the LCM of 878, 576, 270, 361, 493?

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 878, 576, 270, 361, 493.

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}.