Given numbers are 390,790,152,408,163

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

The LCM of 390,790,152,408,163 is 6488462760.

Find LCM of 390,790,152,408,163 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 79 x 19 x 17 x 163 = 6488462760

Therefore, the lowest common multiple of 390,790,152,408,163 is 6488462760.

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 790 x 152 x 408 x 163 = 3114462124800

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

152 : 1, 2, 4, 8, 19, 38, 76, 152

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,790,152,408,163, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

790:2x 5x 79

152:2x 2x 2x 19

408:2x 2x 2x 3x 17

163:163

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 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 3114462124800/(1x480)

LCM = 3114462124800/480

LCM = 6488462760

Thus, we can understand that the LCM of 390,790,152,408,163 is 6488462760.

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

• LCM of 904, 284, 175, 107, 788
• LCM of 446, 339, 965, 383, 800
• LCM of 331, 107, 816, 143, 168
• LCM of 859, 870, 534, 502, 630
• LCM of 127, 194, 862, 474, 791

1. What is the LCM of 390, 790, 152, 408, 163?

Answer: LCM of 390, 790, 152, 408, 163 is 6488462760.

2. How to calculate the LCM of 390, 790, 152, 408, 163?

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, 790, 152, 408, 163.

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}.