Given numbers are 864,268,798,879

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

The LCM of 864,268,798,879 is 2255837472.

Find LCM of 864,268,798,879 with Prime Factorization

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

2 x 2 x 3 x 72 x 67 x 133 x 293 = 2255837472

Therefore, the lowest common multiple of 864,268,798,879 is 2255837472.

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 268 x 798 x 879 = 162420297984

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

268 : 1, 2, 4, 67, 134, 268

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,268,798,879, is 1.

Now, the common factors can be found like this.

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

268:2x 2x 67

798:2x 3x 7x 19

879:3x 293

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 162420297984/(1x72)

LCM = 162420297984/72

LCM = 2255837472

Thus, we can understand that the LCM of 864,268,798,879 is 2255837472.

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

• LCM of 199, 654, 419, 482
• LCM of 957, 270, 247, 268
• LCM of 294, 877, 782, 676
• LCM of 434, 453, 277, 246
• LCM of 116, 849, 432, 974

1. What is the LCM of 864, 268, 798, 879?

Answer: LCM of 864, 268, 798, 879 is 2255837472.

2. How to calculate the LCM of 864, 268, 798, 879?

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, 268, 798, 879.

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}.