Given numbers are 888,407,414,418,328

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

The LCM of 888,407,414,418,328 is 525039768.

Find LCM of 888,407,414,418,328 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 37 x 1 x 1 x 69 x 19 x 41 = 525039768

Therefore, the lowest common multiple of 888,407,414,418,328 is 525039768.

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.

888 x 407 x 414 x 418 x 328 = 20514353815296

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.

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

407 : 1, 11, 37, 407

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,407,414,418,328, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

407:11x 37

414:2x 3x 3x 23

418:2x 11x 19

328:2x 2x 2x 41

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

2x 2x 2x 2x 2x 3x 11x 37 = 39072

Therefore, the value for common factors is 39072.

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 = 20514353815296/(1x39072)

LCM = 20514353815296/39072

LCM = 525039768

Thus, we can understand that the LCM of 888,407,414,418,328 is 525039768.

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

• LCM of 728, 677, 377, 362, 466
• LCM of 426, 625, 267, 894, 371
• LCM of 333, 161, 721, 363, 437
• LCM of 745, 591, 839, 400, 885
• LCM of 751, 287, 826, 525, 556

1. What is the LCM of 888, 407, 414, 418, 328?

Answer: LCM of 888, 407, 414, 418, 328 is 525039768.

2. How to calculate the LCM of 888, 407, 414, 418, 328?

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 888, 407, 414, 418, 328.

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}.