Given numbers are 584,700,228,409

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

The LCM of 584,700,228,409 is 2382588600.

Find LCM of 584,700,228,409 with Prime Factorization

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

2 x 2 x 146 x 175 x 57 x 409 = 2382588600

Therefore, the lowest common multiple of 584,700,228,409 is 2382588600.

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.

584 x 700 x 228 x 409 = 38121417600

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,700,228,409, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

700:2x 2x 5x 5x 7

228:2x 2x 3x 19

409:409

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 2 = 16

Therefore, the value for common factors is 16.

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 = 38121417600/(1x16)

LCM = 38121417600/16

LCM = 2382588600

Thus, we can understand that the LCM of 584,700,228,409 is 2382588600.

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

• LCM of 964, 846, 423, 821
• LCM of 973, 584, 558, 215
• LCM of 606, 587, 699, 126
• LCM of 278, 835, 414, 424
• LCM of 949, 447, 287, 342

1. What is the LCM of 584, 700, 228, 409?

Answer: LCM of 584, 700, 228, 409 is 2382588600.

2. How to calculate the LCM of 584, 700, 228, 409?

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 584, 700, 228, 409.

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}.