Given numbers are 5715,8286

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

The LCM of 5715,8286 is 15784830.

Find LCM of 5715,8286 with Prime Factorization

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

3 x 1905 x 2762 = 15784830

Therefore, the lowest common multiple of 5715,8286 is 15784830.

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.

5715 x 8286 = 47354490

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.

5715 : 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715

8286 : 1, 2, 3, 6, 1381, 2762, 4143, 8286

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5715,8286, is 3.

Now, the common factors can be found like this.

5715:3x 3x 5x 127

8286:2x 3x 1381

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

= 1

Therefore, the value for common factors is 1.

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 = 47354490/(3x1)

LCM = 47354490/3

LCM = 15784830

Thus, we can understand that the LCM of 5715,8286 is 15784830.

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

• LCM of 6589, 1989
• LCM of 8914, 2619
• LCM of 3632, 5712
• LCM of 1881, 8846
• LCM of 7755, 3137

1. What is the LCM of 5715, 8286?

Answer: LCM of 5715, 8286 is 15784830.

2. How to calculate the LCM of 5715, 8286?

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 5715, 8286.

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}.