Given numbers are 391,208,204,524,522

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

The LCM of 391,208,204,524,522 is 2780685648.

Find LCM of 391,208,204,524,522 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 52 x 1 x 131 x 87 = 2780685648

Therefore, the lowest common multiple of 391,208,204,524,522 is 2780685648.

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.

391 x 208 x 204 x 524 x 522 = 4538078977536

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.

391 : 1, 17, 23, 391

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

524 : 1, 2, 4, 131, 262, 524

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,208,204,524,522, is 1.

Now, the common factors can be found like this.

391:17x 23

208:2x 2x 2x 2x 13

204:2x 2x 3x 17

524:2x 2x 131

522:2x 3x 3x 29

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 17 = 1632

Therefore, the value for common factors is 1632.

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 = 4538078977536/(1x1632)

LCM = 4538078977536/1632

LCM = 2780685648

Thus, we can understand that the LCM of 391,208,204,524,522 is 2780685648.

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

• LCM of 298, 697, 394, 516, 809
• LCM of 598, 818, 141, 871, 611
• LCM of 702, 823, 880, 648, 912
• LCM of 666, 111, 518, 912, 674
• LCM of 770, 839, 354, 946, 510

1. What is the LCM of 391, 208, 204, 524, 522?

Answer: LCM of 391, 208, 204, 524, 522 is 2780685648.

2. How to calculate the LCM of 391, 208, 204, 524, 522?

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 391, 208, 204, 524, 522.

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}.