Given numbers are 322,361,364,857

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

The LCM of 322,361,364,857 is 2590104244.

Find LCM of 322,361,364,857 with Prime Factorization

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

2 x 7 x 23 x 361 x 26 x 857 = 2590104244

Therefore, the lowest common multiple of 322,361,364,857 is 2590104244.

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.

322 x 361 x 364 x 857 = 36261459416

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

361 : 1, 19, 361

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,361,364,857, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

361:19x 19

364:2x 2x 7x 13

857:857

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 36261459416/(1x14)

LCM = 36261459416/14

LCM = 2590104244

Thus, we can understand that the LCM of 322,361,364,857 is 2590104244.

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

• LCM of 615, 614, 735, 490
• LCM of 974, 710, 462, 681
• LCM of 640, 269, 951, 545
• LCM of 108, 829, 283, 783
• LCM of 534, 279, 552, 628

1. What is the LCM of 322, 361, 364, 857?

Answer: LCM of 322, 361, 364, 857 is 2590104244.

2. How to calculate the LCM of 322, 361, 364, 857?

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 322, 361, 364, 857.

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}.