Given numbers are 864,174,110,792

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

The LCM of 864,174,110,792 is 1378080.

Find LCM of 864,174,110,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 12 x 29 x 5 x 1 = 1378080

Therefore, the lowest common multiple of 864,174,110,792 is 1378080.

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 174 x 110 x 792 = 13097272320

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

110 : 1, 2, 5, 10, 11, 22, 55, 110

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,174,110,792, is 2.

Now, the common factors can be found like this.

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

174:2x 3x 29

110:2x 5x 11

792:2x 2x 2x 3x 3x 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 2x 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 13097272320/(2x4752)

LCM = 13097272320/9504

LCM = 1378080

Thus, we can understand that the LCM of 864,174,110,792 is 1378080.

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

• LCM of 661, 598, 130, 290
• LCM of 687, 421, 675, 653
• LCM of 710, 178, 140, 445
• LCM of 418, 619, 538, 525
• LCM of 695, 223, 146, 686

1. What is the LCM of 864, 174, 110, 792?

Answer: LCM of 864, 174, 110, 792 is 1378080.

2. How to calculate the LCM of 864, 174, 110, 792?

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, 174, 110, 792.

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}.