Given numbers are 864,863,692,728

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

The LCM of 864,863,692,728 is 11738484576.

Find LCM of 864,863,692,728 with Prime Factorization

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

2 x 2 x 2 x 108 x 863 x 173 x 91 = 11738484576

Therefore, the lowest common multiple of 864,863,692,728 is 11738484576.

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 863 x 692 x 728 = 375631506432

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

863 : 1, 863

692 : 1, 2, 4, 173, 346, 692

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,863,692,728, is 1.

Now, the common factors can be found like this.

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

863:863

692:2x 2x 173

728:2x 2x 2x 7x 13

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 2 = 32

Therefore, the value for common factors is 32.

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 = 375631506432/(1x32)

LCM = 375631506432/32

LCM = 11738484576

Thus, we can understand that the LCM of 864,863,692,728 is 11738484576.

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

• LCM of 238, 448, 427, 489
• LCM of 184, 482, 695, 962
• LCM of 846, 300, 245, 914
• LCM of 432, 612, 471, 264
• LCM of 545, 206, 912, 915

1. What is the LCM of 864, 863, 692, 728?

Answer: LCM of 864, 863, 692, 728 is 11738484576.

2. How to calculate the LCM of 864, 863, 692, 728?

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, 863, 692, 728.

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}.