Given numbers are 390,506,355,232,160

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

The LCM of 390,506,355,232,160 is 3250584480.

Find LCM of 390,506,355,232,160 with Prime Factorization

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

2 x 2 x 2 x 5 x 39 x 253 x 71 x 29 x 4 = 3250584480

Therefore, the lowest common multiple of 390,506,355,232,160 is 3250584480.

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 506 x 355 x 232 x 160 = 2600467584000

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

355 : 1, 5, 71, 355

232 : 1, 2, 4, 8, 29, 58, 116, 232

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,506,355,232,160, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

506:2x 11x 23

355:5x 71

232:2x 2x 2x 29

160:2x 2x 2x 2x 2x 5

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 2600467584000/(1x800)

LCM = 2600467584000/800

LCM = 3250584480

Thus, we can understand that the LCM of 390,506,355,232,160 is 3250584480.

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

• LCM of 820, 978, 135, 634, 792
• LCM of 672, 419, 367, 951, 262
• LCM of 735, 133, 271, 873, 748
• LCM of 357, 599, 545, 240, 173
• LCM of 427, 962, 531, 834, 390

1. What is the LCM of 390, 506, 355, 232, 160?

Answer: LCM of 390, 506, 355, 232, 160 is 3250584480.

2. How to calculate the LCM of 390, 506, 355, 232, 160?

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, 506, 355, 232, 160.

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}.