Given numbers are 371,166,415,373,414

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

The LCM of 371,166,415,373,414 is 23775583230.

Find LCM of 371,166,415,373,414 with Prime Factorization

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

2 x 83 x 371 x 1 x 5 x 373 x 207 = 23775583230

Therefore, the lowest common multiple of 371,166,415,373,414 is 23775583230.

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.

371 x 166 x 415 x 373 x 414 = 3946746816180

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.

371 : 1, 7, 53, 371

166 : 1, 2, 83, 166

415 : 1, 5, 83, 415

373 : 1, 373

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,166,415,373,414, is 1.

Now, the common factors can be found like this.

371:7x 53

166:2x 83

415:5x 83

373:373

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.

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 3946746816180/(1x166)

LCM = 3946746816180/166

LCM = 23775583230

Thus, we can understand that the LCM of 371,166,415,373,414 is 23775583230.

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

• LCM of 215, 520, 247, 829, 353
• LCM of 652, 671, 682, 332, 806
• LCM of 547, 333, 600, 384, 591
• LCM of 731, 169, 810, 182, 784
• LCM of 820, 678, 550, 505, 175

1. What is the LCM of 371, 166, 415, 373, 414?

Answer: LCM of 371, 166, 415, 373, 414 is 23775583230.

2. How to calculate the LCM of 371, 166, 415, 373, 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 371, 166, 415, 373, 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}.