Given numbers are 380,39,817

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

The LCM of 380,39,817 is 637260.

Find LCM of 380,39,817 with Prime Factorization

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

19 x 20 x 39 x 43 = 637260

Therefore, the lowest common multiple of 380,39,817 is 637260.

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.

380 x 39 x 817 = 12107940

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

39 : 1, 3, 13, 39

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,39,817, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

39:3x 13

817:19x 43

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 = 12107940/(1x19)

LCM = 12107940/19

LCM = 637260

Thus, we can understand that the LCM of 380,39,817 is 637260.

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

• LCM of 477, 94, 405
• LCM of 935, 53, 838
• LCM of 136, 72, 180
• LCM of 790, 70, 837
• LCM of 105, 29, 349

1. What is the LCM of 380, 39, 817?

Answer: LCM of 380, 39, 817 is 637260.

2. How to calculate the LCM of 380, 39, 817?

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 380, 39, 817.

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}.