Given numbers are 305,522,104,102,864

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

The LCM of 305,522,104,102,864 is 1688899680.

Find LCM of 305,522,104,102,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 305 x 29 x 13 x 17 x 12 = 1688899680

Therefore, the lowest common multiple of 305,522,104,102,864 is 1688899680.

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.

305 x 522 x 104 x 102 x 864 = 1459209323520

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.

305 : 1, 5, 61, 305

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

104 : 1, 2, 4, 8, 13, 26, 52, 104

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,522,104,102,864, is 1.

Now, the common factors can be found like this.

305:5x 61

522:2x 3x 3x 29

104:2x 2x 2x 13

102:2x 3x 17

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

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 1459209323520/(1x864)

LCM = 1459209323520/864

LCM = 1688899680

Thus, we can understand that the LCM of 305,522,104,102,864 is 1688899680.

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

• LCM of 988, 983, 225, 346, 946
• LCM of 975, 809, 674, 156, 757
• LCM of 664, 663, 343, 871, 148
• LCM of 595, 109, 105, 345, 384
• LCM of 468, 152, 136, 790, 894

1. What is the LCM of 305, 522, 104, 102, 864?

Answer: LCM of 305, 522, 104, 102, 864 is 1688899680.

2. How to calculate the LCM of 305, 522, 104, 102, 864?

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 305, 522, 104, 102, 864.

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}.