Given numbers are 338,816,586,450

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

The LCM of 338,816,586,450 is 3030440400.

Find LCM of 338,816,586,450 with Prime Factorization

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

2 x 3 x 169 x 136 x 293 x 75 = 3030440400

Therefore, the lowest common multiple of 338,816,586,450 is 3030440400.

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.

338 x 816 x 586 x 450 = 72730569600

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.

338 : 1, 2, 13, 26, 169, 338

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

586 : 1, 2, 293, 586

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,816,586,450, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

816:2x 2x 2x 2x 3x 17

586:2x 293

450:2x 3x 3x 5x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 72730569600/(2x12)

LCM = 72730569600/24

LCM = 3030440400

Thus, we can understand that the LCM of 338,816,586,450 is 3030440400.

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

• LCM of 440, 993, 476, 962
• LCM of 519, 183, 239, 682
• LCM of 196, 448, 261, 290
• LCM of 882, 104, 483, 670
• LCM of 755, 897, 239, 855

1. What is the LCM of 338, 816, 586, 450?

Answer: LCM of 338, 816, 586, 450 is 3030440400.

2. How to calculate the LCM of 338, 816, 586, 450?

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 338, 816, 586, 450.

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}.