Given numbers are 231,293,101,507,808

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

The LCM of 231,293,101,507,808 is 9242249016.

Find LCM of 231,293,101,507,808 with Prime Factorization

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

3 x 101 x 77 x 293 x 1 x 169 x 8 = 9242249016

Therefore, the lowest common multiple of 231,293,101,507,808 is 9242249016.

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.

231 x 293 x 101 x 507 x 808 = 2800401451848

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

293 : 1, 293

101 : 1, 101

507 : 1, 3, 13, 39, 169, 507

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,293,101,507,808, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

293:293

101:101

507:3x 13x 13

808:2x 2x 2x 101

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

3x 101 = 303

Therefore, the value for common factors is 303.

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 = 2800401451848/(1x303)

LCM = 2800401451848/303

LCM = 9242249016

Thus, we can understand that the LCM of 231,293,101,507,808 is 9242249016.

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

• LCM of 405, 499, 610, 873, 875
• LCM of 170, 290, 674, 783, 694
• LCM of 359, 911, 858, 961, 687
• LCM of 177, 615, 152, 637, 956
• LCM of 341, 950, 440, 656, 572

1. What is the LCM of 231, 293, 101, 507, 808?

Answer: LCM of 231, 293, 101, 507, 808 is 9242249016.

2. How to calculate the LCM of 231, 293, 101, 507, 808?

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 231, 293, 101, 507, 808.

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}.