Given numbers are 390,798,180,331,388

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

The LCM of 390,798,180,331,388 is 9992340540.

Find LCM of 390,798,180,331,388 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 133 x 3 x 331 x 97 = 9992340540

Therefore, the lowest common multiple of 390,798,180,331,388 is 9992340540.

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 798 x 180 x 331 x 388 = 7194485188800

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

331 : 1, 331

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,798,180,331,388, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

798:2x 3x 7x 19

180:2x 2x 3x 3x 5

331:331

388:2x 2x 97

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 7194485188800/(1x720)

LCM = 7194485188800/720

LCM = 9992340540

Thus, we can understand that the LCM of 390,798,180,331,388 is 9992340540.

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

• LCM of 170, 782, 862, 411, 201
• LCM of 236, 439, 141, 540, 786
• LCM of 495, 438, 698, 708, 393
• LCM of 597, 262, 911, 157, 309
• LCM of 243, 102, 212, 990, 439

1. What is the LCM of 390, 798, 180, 331, 388?

Answer: LCM of 390, 798, 180, 331, 388 is 9992340540.

2. How to calculate the LCM of 390, 798, 180, 331, 388?

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, 798, 180, 331, 388.

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}.