Given numbers are 221,813,198,253,363

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

The LCM of 221,813,198,253,363 is 3000179754.

Find LCM of 221,813,198,253,363 with Prime Factorization

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

3 x 11 x 221 x 271 x 6 x 23 x 11 = 3000179754

Therefore, the lowest common multiple of 221,813,198,253,363 is 3000179754.

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.

221 x 813 x 198 x 253 x 363 = 3267195752106

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.

221 : 1, 13, 17, 221

813 : 1, 3, 271, 813

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

253 : 1, 11, 23, 253

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,813,198,253,363, is 1.

Now, the common factors can be found like this.

221:13x 17

813:3x 271

198:2x 3x 3x 11

253:11x 23

363:3x 11x 11

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

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 3267195752106/(1x1089)

LCM = 3267195752106/1089

LCM = 3000179754

Thus, we can understand that the LCM of 221,813,198,253,363 is 3000179754.

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

• LCM of 440, 289, 107, 234, 936
• LCM of 145, 693, 767, 447, 975
• LCM of 408, 171, 177, 273, 963
• LCM of 910, 156, 394, 360, 311
• LCM of 105, 720, 355, 838, 426

1. What is the LCM of 221, 813, 198, 253, 363?

Answer: LCM of 221, 813, 198, 253, 363 is 3000179754.

2. How to calculate the LCM of 221, 813, 198, 253, 363?

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 221, 813, 198, 253, 363.

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}.