Given numbers are 390,325,685,207,392

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

The LCM of 390,325,685,207,392 is 3612936600.

Find LCM of 390,325,685,207,392 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 5 x 137 x 69 x 196 = 3612936600

Therefore, the lowest common multiple of 390,325,685,207,392 is 3612936600.

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 325 x 685 x 207 x 392 = 7045226370000

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

325 : 1, 5, 13, 25, 65, 325

685 : 1, 5, 137, 685

207 : 1, 3, 9, 23, 69, 207

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,325,685,207,392, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

325:5x 5x 13

685:5x 137

207:3x 3x 23

392:2x 2x 2x 7x 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 13 = 1950

Therefore, the value for common factors is 1950.

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 = 7045226370000/(1x1950)

LCM = 7045226370000/1950

LCM = 3612936600

Thus, we can understand that the LCM of 390,325,685,207,392 is 3612936600.

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

• LCM of 783, 861, 412, 358, 403
• LCM of 681, 904, 961, 150, 554
• LCM of 897, 411, 356, 406, 817
• LCM of 140, 342, 925, 164, 171
• LCM of 451, 962, 195, 731, 309

1. What is the LCM of 390, 325, 685, 207, 392?

Answer: LCM of 390, 325, 685, 207, 392 is 3612936600.

2. How to calculate the LCM of 390, 325, 685, 207, 392?

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, 325, 685, 207, 392.

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}.