Given numbers are 138,990,998,528,869

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

The LCM of 138,990,998,528,869 is 7180929360.

Find LCM of 138,990,998,528,869 with Prime Factorization

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

2 x 3 x 11 x 23 x 15 x 499 x 8 x 79 = 7180929360

Therefore, the lowest common multiple of 138,990,998,528,869 is 7180929360.

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.

138 x 990 x 998 x 528 x 869 = 62560256584320

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

998 : 1, 2, 499, 998

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,990,998,528,869, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

990:2x 3x 3x 5x 11

998:2x 499

528:2x 2x 2x 2x 3x 11

869:11x 79

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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 62560256584320/(1x8712)

LCM = 62560256584320/8712

LCM = 7180929360

Thus, we can understand that the LCM of 138,990,998,528,869 is 7180929360.

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

• LCM of 457, 537, 933, 109, 643
• LCM of 699, 661, 628, 168, 983
• LCM of 875, 308, 642, 715, 884
• LCM of 613, 100, 167, 238, 308
• LCM of 756, 990, 413, 872, 345

1. What is the LCM of 138, 990, 998, 528, 869?

Answer: LCM of 138, 990, 998, 528, 869 is 7180929360.

2. How to calculate the LCM of 138, 990, 998, 528, 869?

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 138, 990, 998, 528, 869.

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}.