Given numbers are 731,568,361,412,252

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

The LCM of 731,568,361,412,252 is 972636781032.

Find LCM of 731,568,361,412,252 with Prime Factorization

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

2 x 2 x 731 x 142 x 361 x 103 x 63 = 972636781032

Therefore, the lowest common multiple of 731,568,361,412,252 is 972636781032.

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.

731 x 568 x 361 x 412 x 252 = 15562188496512

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.

731 : 1, 17, 43, 731

568 : 1, 2, 4, 8, 71, 142, 284, 568

361 : 1, 19, 361

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,568,361,412,252, is 1.

Now, the common factors can be found like this.

731:17x 43

568:2x 2x 2x 71

361:19x 19

412:2x 2x 103

252:2x 2x 3x 3x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 15562188496512/(1x16)

LCM = 15562188496512/16

LCM = 972636781032

Thus, we can understand that the LCM of 731,568,361,412,252 is 972636781032.

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

• LCM of 342, 909, 489, 648, 813
• LCM of 354, 497, 377, 270, 393
• LCM of 840, 500, 563, 694, 731
• LCM of 355, 820, 491, 535, 804
• LCM of 205, 745, 805, 498, 196

1. What is the LCM of 731, 568, 361, 412, 252?

Answer: LCM of 731, 568, 361, 412, 252 is 972636781032.

2. How to calculate the LCM of 731, 568, 361, 412, 252?

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 731, 568, 361, 412, 252.

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}.