Given numbers are 438,198,990,286

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

The LCM of 438,198,990,286 is 939510.

Find LCM of 438,198,990,286 with Prime Factorization

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

2 x 3 x 3 x 11 x 73 x 1 x 5 x 13 = 939510

Therefore, the lowest common multiple of 438,198,990,286 is 939510.

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.

438 x 198 x 990 x 286 = 24555033360

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,198,990,286, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

198:2x 3x 3x 11

990:2x 3x 3x 5x 11

286:2x 11x 13

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 3x 3x 11x 11 = 13068

Therefore, the value for common factors is 13068.

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 = 24555033360/(2x13068)

LCM = 24555033360/26136

LCM = 939510

Thus, we can understand that the LCM of 438,198,990,286 is 939510.

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

• LCM of 705, 642, 578, 629
• LCM of 775, 695, 814, 143
• LCM of 460, 105, 853, 927
• LCM of 676, 609, 917, 621
• LCM of 618, 433, 272, 703

1. What is the LCM of 438, 198, 990, 286?

Answer: LCM of 438, 198, 990, 286 is 939510.

2. How to calculate the LCM of 438, 198, 990, 286?

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 438, 198, 990, 286.

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}.