Given numbers are 286,324,322,353

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

The LCM of 286,324,322,353 is 2633186556.

Find LCM of 286,324,322,353 with Prime Factorization

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

2 x 143 x 162 x 161 x 353 = 2633186556

Therefore, the lowest common multiple of 286,324,322,353 is 2633186556.

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.

286 x 324 x 322 x 353 = 10532746224

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,324,322,353, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

324:2x 2x 3x 3x 3x 3

322:2x 7x 23

353:353

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10532746224/(1x4)

LCM = 10532746224/4

LCM = 2633186556

Thus, we can understand that the LCM of 286,324,322,353 is 2633186556.

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

• LCM of 175, 618, 398, 639
• LCM of 536, 352, 553, 887
• LCM of 518, 288, 781, 808
• LCM of 864, 590, 733, 744
• LCM of 117, 274, 255, 721

1. What is the LCM of 286, 324, 322, 353?

Answer: LCM of 286, 324, 322, 353 is 2633186556.

2. How to calculate the LCM of 286, 324, 322, 353?

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 286, 324, 322, 353.

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}.