Given numbers are 353,221,418,361

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

The LCM of 353,221,418,361 is 619579246.

Find LCM of 353,221,418,361 with Prime Factorization

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

19 x 353 x 221 x 22 x 19 = 619579246

Therefore, the lowest common multiple of 353,221,418,361 is 619579246.

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.

353 x 221 x 418 x 361 = 11772005674

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.

353 : 1, 353

221 : 1, 13, 17, 221

418 : 1, 2, 11, 19, 22, 38, 209, 418

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,221,418,361, is 1.

Now, the common factors can be found like this.

353:353

221:13x 17

418:2x 11x 19

361:19x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 11772005674/(1x19)

LCM = 11772005674/19

LCM = 619579246

Thus, we can understand that the LCM of 353,221,418,361 is 619579246.

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

• LCM of 424, 947, 528, 110
• LCM of 916, 133, 589, 459
• LCM of 227, 891, 557, 490
• LCM of 315, 709, 870, 301
• LCM of 358, 889, 901, 310

1. What is the LCM of 353, 221, 418, 361?

Answer: LCM of 353, 221, 418, 361 is 619579246.

2. How to calculate the LCM of 353, 221, 418, 361?

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 353, 221, 418, 361.

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}.