Given numbers are 381,195,417

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

The LCM of 381,195,417 is 3442335.

Find LCM of 381,195,417 with Prime Factorization

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

3 x 127 x 65 x 139 = 3442335

Therefore, the lowest common multiple of 381,195,417 is 3442335.

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.

381 x 195 x 417 = 30981015

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.

381 : 1, 3, 127, 381

195 : 1, 3, 5, 13, 15, 39, 65, 195

417 : 1, 3, 139, 417

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,195,417, is 3.

Now, the common factors can be found like this.

381:3x 127

195:3x 5x 13

417:3x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 30981015/(3x3)

LCM = 30981015/9

LCM = 3442335

Thus, we can understand that the LCM of 381,195,417 is 3442335.

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

• LCM of 846, 595, 380
• LCM of 848, 741, 610
• LCM of 322, 409, 117
• LCM of 209, 277, 616
• LCM of 185, 777, 983

1. What is the LCM of 381, 195, 417?

Answer: LCM of 381, 195, 417 is 3442335.

2. How to calculate the LCM of 381, 195, 417?

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 381, 195, 417.

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}.