Given numbers are 374,398,414

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

The LCM of 374,398,414 is 15406182.

Find LCM of 374,398,414 with Prime Factorization

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

2 x 187 x 199 x 207 = 15406182

Therefore, the lowest common multiple of 374,398,414 is 15406182.

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.

374 x 398 x 414 = 61624728

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

398 : 1, 2, 199, 398

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,398,414, is 2.

Now, the common factors can be found like this.

374:2x 11x 17

398:2x 199

414:2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61624728/(2x2)

LCM = 61624728/4

LCM = 15406182

Thus, we can understand that the LCM of 374,398,414 is 15406182.

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

• LCM of 500, 833, 310
• LCM of 994, 370, 328
• LCM of 728, 798, 564
• LCM of 382, 909, 488
• LCM of 776, 252, 756

1. What is the LCM of 374, 398, 414?

Answer: LCM of 374, 398, 414 is 15406182.

2. How to calculate the LCM of 374, 398, 414?

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 374, 398, 414.

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}.