Given numbers are 390,855,724,655,175

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

The LCM of 390,855,724,655,175 is 36896687100.

Find LCM of 390,855,724,655,175 with Prime Factorization

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

2 x 3 x 5 x 13 x 57 x 362 x 131 x 35 = 36896687100

Therefore, the lowest common multiple of 390,855,724,655,175 is 36896687100.

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.

390 x 855 x 724 x 655 x 175 = 27672515325000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

724 : 1, 2, 4, 181, 362, 724

655 : 1, 5, 131, 655

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,855,724,655,175, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

855:3x 3x 5x 19

724:2x 2x 181

655:5x 131

175:5x 5x 7

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 5x 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 27672515325000/(1x750)

LCM = 27672515325000/750

LCM = 36896687100

Thus, we can understand that the LCM of 390,855,724,655,175 is 36896687100.

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

• LCM of 667, 179, 287, 742, 748
• LCM of 287, 695, 302, 791, 192
• LCM of 466, 438, 766, 396, 241
• LCM of 470, 550, 783, 104, 598
• LCM of 972, 717, 575, 130, 435

1. What is the LCM of 390, 855, 724, 655, 175?

Answer: LCM of 390, 855, 724, 655, 175 is 36896687100.

2. How to calculate the LCM of 390, 855, 724, 655, 175?

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 390, 855, 724, 655, 175.

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}.