Given numbers are 240,507,306,413,591

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

The LCM of 240,507,306,413,591 is 168300110160.

Find LCM of 240,507,306,413,591 with Prime Factorization

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

2 x 3 x 40 x 169 x 51 x 413 x 197 = 168300110160

Therefore, the lowest common multiple of 240,507,306,413,591 is 168300110160.

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.

240 x 507 x 306 x 413 x 591 = 9088205948640

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

413 : 1, 7, 59, 413

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,507,306,413,591, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

507:3x 13x 13

306:2x 3x 3x 17

413:7x 59

591:3x 197

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 9088205948640/(1x54)

LCM = 9088205948640/54

LCM = 168300110160

Thus, we can understand that the LCM of 240,507,306,413,591 is 168300110160.

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

• LCM of 483, 145, 628, 233, 144
• LCM of 897, 543, 702, 824, 653
• LCM of 533, 822, 355, 630, 745
• LCM of 165, 179, 806, 945, 367
• LCM of 226, 353, 514, 876, 977

1. What is the LCM of 240, 507, 306, 413, 591?

Answer: LCM of 240, 507, 306, 413, 591 is 168300110160.

2. How to calculate the LCM of 240, 507, 306, 413, 591?

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 240, 507, 306, 413, 591.

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}.