Given numbers are 522,358,714,418,212

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

The LCM of 522,358,714,418,212 is 246333028788.

Find LCM of 522,358,714,418,212 with Prime Factorization

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

2 x 3 x 87 x 179 x 119 x 209 x 106 = 246333028788

Therefore, the lowest common multiple of 522,358,714,418,212 is 246333028788.

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.

522 x 358 x 714 x 418 x 212 = 11823985381824

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.

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

358 : 1, 2, 179, 358

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

418 : 1, 2, 11, 19, 22, 38, 209, 418

212 : 1, 2, 4, 53, 106, 212

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,358,714,418,212, is 2.

Now, the common factors can be found like this.

522:2x 3x 3x 29

358:2x 179

714:2x 3x 7x 17

418:2x 11x 19

212:2x 2x 53

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11823985381824/(2x24)

LCM = 11823985381824/48

LCM = 246333028788

Thus, we can understand that the LCM of 522,358,714,418,212 is 246333028788.

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

• LCM of 994, 136, 624, 335, 500
• LCM of 550, 267, 735, 824, 928
• LCM of 891, 201, 933, 671, 332
• LCM of 116, 481, 798, 349, 601
• LCM of 266, 821, 424, 284, 158

1. What is the LCM of 522, 358, 714, 418, 212?

Answer: LCM of 522, 358, 714, 418, 212 is 246333028788.

2. How to calculate the LCM of 522, 358, 714, 418, 212?

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 522, 358, 714, 418, 212.

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}.