Given numbers are 363,221,286,689,325

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

The LCM of 363,221,286,689,325 is 212590950.

Find LCM of 363,221,286,689,325 with Prime Factorization

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

11 x 13 x 33 x 17 x 2 x 53 x 25 = 212590950

Therefore, the lowest common multiple of 363,221,286,689,325 is 212590950.

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.

363 x 221 x 286 x 689 x 325 = 5137685488650

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.

363 : 1, 3, 11, 33, 121, 363

221 : 1, 13, 17, 221

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

689 : 1, 13, 53, 689

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,221,286,689,325, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

221:13x 17

286:2x 11x 13

689:13x 53

325:5x 5x 13

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

11x 13x 13x 13 = 24167

Therefore, the value for common factors is 24167.

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 = 5137685488650/(1x24167)

LCM = 5137685488650/24167

LCM = 212590950

Thus, we can understand that the LCM of 363,221,286,689,325 is 212590950.

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

• LCM of 217, 766, 523, 557, 619
• LCM of 557, 485, 658, 997, 646
• LCM of 644, 218, 845, 591, 216
• LCM of 631, 950, 739, 459, 671
• LCM of 163, 452, 626, 360, 712

1. What is the LCM of 363, 221, 286, 689, 325?

Answer: LCM of 363, 221, 286, 689, 325 is 212590950.

2. How to calculate the LCM of 363, 221, 286, 689, 325?

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 363, 221, 286, 689, 325.

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}.