Given numbers are 864,578,715,484

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

The LCM of 864,578,715,484 is 1963859040.

Find LCM of 864,578,715,484 with Prime Factorization

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

2 x 2 x 11 x 216 x 289 x 65 x 11 = 1963859040

Therefore, the lowest common multiple of 864,578,715,484 is 1963859040.

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.

864 x 578 x 715 x 484 = 172819595520

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

578 : 1, 2, 17, 34, 289, 578

715 : 1, 5, 11, 13, 55, 65, 143, 715

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,578,715,484, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

578:2x 17x 17

715:5x 11x 13

484:2x 2x 11x 11

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 11 = 88

Therefore, the value for common factors is 88.

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 = 172819595520/(1x88)

LCM = 172819595520/88

LCM = 1963859040

Thus, we can understand that the LCM of 864,578,715,484 is 1963859040.

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

• LCM of 455, 735, 952, 678
• LCM of 672, 944, 838, 541
• LCM of 711, 287, 964, 346
• LCM of 944, 651, 661, 728
• LCM of 700, 620, 583, 117

1. What is the LCM of 864, 578, 715, 484?

Answer: LCM of 864, 578, 715, 484 is 1963859040.

2. How to calculate the LCM of 864, 578, 715, 484?

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 864, 578, 715, 484.

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}.