Given numbers are 219,283,320,584

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

The LCM of 219,283,320,584 is 19832640.

Find LCM of 219,283,320,584 with Prime Factorization

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

2 x 2 x 2 x 73 x 3 x 283 x 40 x 1 = 19832640

Therefore, the lowest common multiple of 219,283,320,584 is 19832640.

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.

219 x 283 x 320 x 584 = 11582261760

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.

219 : 1, 3, 73, 219

283 : 1, 283

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,283,320,584, is 1.

Now, the common factors can be found like this.

219:3x 73

283:283

320:2x 2x 2x 2x 2x 2x 5

584:2x 2x 2x 73

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 73 = 584

Therefore, the value for common factors is 584.

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 = 11582261760/(1x584)

LCM = 11582261760/584

LCM = 19832640

Thus, we can understand that the LCM of 219,283,320,584 is 19832640.

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

• LCM of 955, 323, 696, 381
• LCM of 688, 124, 179, 760
• LCM of 448, 450, 848, 873
• LCM of 418, 618, 468, 665
• LCM of 200, 228, 985, 869

1. What is the LCM of 219, 283, 320, 584?

Answer: LCM of 219, 283, 320, 584 is 19832640.

2. How to calculate the LCM of 219, 283, 320, 584?

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 219, 283, 320, 584.

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}.