Given numbers are 381,717,720,717

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

The LCM of 381,717,720,717 is 21854160.

Find LCM of 381,717,720,717 with Prime Factorization

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

3 x 239 x 127 x 1 x 240 x 1 = 21854160

Therefore, the lowest common multiple of 381,717,720,717 is 21854160.

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 717 x 720 x 717 = 141024894480

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

717 : 1, 3, 239, 717

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

717 : 1, 3, 239, 717

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,717,720,717, is 3.

Now, the common factors can be found like this.

381:3x 127

717:3x 239

720:2x 2x 2x 2x 3x 3x 5

717:3x 239

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

3x 3x 239 = 2151

Therefore, the value for common factors is 2151.

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 = 141024894480/(3x2151)

LCM = 141024894480/6453

LCM = 21854160

Thus, we can understand that the LCM of 381,717,720,717 is 21854160.

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

• LCM of 602, 711, 764, 866
• LCM of 462, 451, 824, 650
• LCM of 807, 499, 513, 768
• LCM of 152, 593, 609, 358
• LCM of 712, 622, 645, 487

1. What is the LCM of 381, 717, 720, 717?

Answer: LCM of 381, 717, 720, 717 is 21854160.

2. How to calculate the LCM of 381, 717, 720, 717?

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, 717, 720, 717.

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}.