Given numbers are 115,368,507,488

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

The LCM of 115,368,507,488 is 56905680.

Find LCM of 115,368,507,488 with Prime Factorization

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

2 x 2 x 2 x 23 x 5 x 2 x 507 x 61 = 56905680

Therefore, the lowest common multiple of 115,368,507,488 is 56905680.

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.

115 x 368 x 507 x 488 = 10470645120

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.

115 : 1, 5, 23, 115

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,368,507,488, is 1.

Now, the common factors can be found like this.

115:5x 23

368:2x 2x 2x 2x 23

507:3x 13x 13

488:2x 2x 2x 61

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

2x 2x 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 10470645120/(1x184)

LCM = 10470645120/184

LCM = 56905680

Thus, we can understand that the LCM of 115,368,507,488 is 56905680.

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

• LCM of 859, 216, 442, 250
• LCM of 399, 644, 521, 317
• LCM of 361, 925, 323, 502
• LCM of 904, 743, 654, 415
• LCM of 531, 949, 156, 480

1. What is the LCM of 115, 368, 507, 488?

Answer: LCM of 115, 368, 507, 488 is 56905680.

2. How to calculate the LCM of 115, 368, 507, 488?

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 115, 368, 507, 488.

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}.