Given numbers are 390,258,722,366,513

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

The LCM of 390,258,722,366,513 is 3323629530.

Find LCM of 390,258,722,366,513 with Prime Factorization

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

2 x 3 x 19 x 65 x 43 x 19 x 61 x 9 = 3323629530

Therefore, the lowest common multiple of 390,258,722,366,513 is 3323629530.

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 258 x 722 x 366 x 513 = 13640175591120

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

722 : 1, 2, 19, 38, 361, 722

366 : 1, 2, 3, 6, 61, 122, 183, 366

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,258,722,366,513, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

258:2x 3x 43

722:2x 19x 19

366:2x 3x 61

513:3x 3x 3x 19

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 3x 3x 3x 19 = 4104

Therefore, the value for common factors is 4104.

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 = 13640175591120/(1x4104)

LCM = 13640175591120/4104

LCM = 3323629530

Thus, we can understand that the LCM of 390,258,722,366,513 is 3323629530.

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

• LCM of 200, 832, 354, 370, 204
• LCM of 766, 164, 330, 551, 757
• LCM of 565, 872, 521, 764, 681
• LCM of 169, 469, 995, 134, 477
• LCM of 902, 525, 273, 234, 480

1. What is the LCM of 390, 258, 722, 366, 513?

Answer: LCM of 390, 258, 722, 366, 513 is 3323629530.

2. How to calculate the LCM of 390, 258, 722, 366, 513?

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, 258, 722, 366, 513.

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}.