Given numbers are 284,808,496,149

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

The LCM of 284,808,496,149 is 529965584.

Find LCM of 284,808,496,149 with Prime Factorization

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

2 x 2 x 2 x 71 x 101 x 62 x 149 = 529965584

Therefore, the lowest common multiple of 284,808,496,149 is 529965584.

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.

284 x 808 x 496 x 149 = 16958898688

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.

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,808,496,149, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

808:2x 2x 2x 101

496:2x 2x 2x 2x 31

149:149

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 16958898688/(1x32)

LCM = 16958898688/32

LCM = 529965584

Thus, we can understand that the LCM of 284,808,496,149 is 529965584.

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

• LCM of 393, 768, 109, 186
• LCM of 172, 940, 406, 159
• LCM of 857, 221, 165, 601
• LCM of 309, 636, 831, 985
• LCM of 407, 958, 960, 968

1. What is the LCM of 284, 808, 496, 149?

Answer: LCM of 284, 808, 496, 149 is 529965584.

2. How to calculate the LCM of 284, 808, 496, 149?

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 284, 808, 496, 149.

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}.