Given numbers are 252,629,427,622,714

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

The LCM of 252,629,427,622,714 is 3007055268.

Find LCM of 252,629,427,622,714 with Prime Factorization

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

2 x 3 x 7 x 17 x 6 x 37 x 61 x 311 x 1 = 3007055268

Therefore, the lowest common multiple of 252,629,427,622,714 is 3007055268.

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.

252 x 629 x 427 x 622 x 714 = 30058524458928

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

629 : 1, 17, 37, 629

427 : 1, 7, 61, 427

622 : 1, 2, 311, 622

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,629,427,622,714, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

629:17x 37

427:7x 61

622:2x 311

714:2x 3x 7x 17

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 3x 7x 7x 17 = 9996

Therefore, the value for common factors is 9996.

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 = 30058524458928/(1x9996)

LCM = 30058524458928/9996

LCM = 3007055268

Thus, we can understand that the LCM of 252,629,427,622,714 is 3007055268.

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

• LCM of 395, 662, 320, 825, 373
• LCM of 927, 434, 231, 338, 650
• LCM of 517, 127, 213, 496, 404
• LCM of 797, 681, 700, 984, 182
• LCM of 451, 301, 561, 758, 368

1. What is the LCM of 252, 629, 427, 622, 714?

Answer: LCM of 252, 629, 427, 622, 714 is 3007055268.

2. How to calculate the LCM of 252, 629, 427, 622, 714?

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 252, 629, 427, 622, 714.

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}.