Given numbers are 149,182,828,439,912

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

The LCM of 149,182,828,439,912 is 374572690128.

Find LCM of 149,182,828,439,912 with Prime Factorization

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

2 x 2 x 3 x 149 x 91 x 69 x 439 x 76 = 374572690128

Therefore, the lowest common multiple of 149,182,828,439,912 is 374572690128.

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.

149 x 182 x 828 x 439 x 912 = 8989744563072

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.

149 : 1, 149

182 : 1, 2, 7, 13, 14, 26, 91, 182

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

439 : 1, 439

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,182,828,439,912, is 1.

Now, the common factors can be found like this.

149:149

182:2x 7x 13

828:2x 2x 3x 3x 23

439:439

912:2x 2x 2x 2x 3x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8989744563072/(1x24)

LCM = 8989744563072/24

LCM = 374572690128

Thus, we can understand that the LCM of 149,182,828,439,912 is 374572690128.

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

• LCM of 873, 204, 632, 491, 125
• LCM of 370, 575, 392, 252, 747
• LCM of 739, 137, 831, 421, 327
• LCM of 671, 479, 187, 567, 426
• LCM of 116, 961, 850, 966, 234

1. What is the LCM of 149, 182, 828, 439, 912?

Answer: LCM of 149, 182, 828, 439, 912 is 374572690128.

2. How to calculate the LCM of 149, 182, 828, 439, 912?

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 149, 182, 828, 439, 912.

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}.