Given numbers are 584,596,270,230,684

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

The LCM of 584,596,270,230,684 is 5133508920.

Find LCM of 584,596,270,230,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 146 x 149 x 3 x 23 x 19 = 5133508920

Therefore, the lowest common multiple of 584,596,270,230,684 is 5133508920.

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 596 x 270 x 230 x 684 = 14784505689600

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

596 : 1, 2, 4, 149, 298, 596

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

230 : 1, 2, 5, 10, 23, 46, 115, 230

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,596,270,230,684, is 2.

Now, the common factors can be found like this.

584:2x 2x 2x 73

596:2x 2x 149

270:2x 3x 3x 3x 5

230:2x 5x 23

684:2x 2x 3x 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 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 14784505689600/(2x1440)

LCM = 14784505689600/2880

LCM = 5133508920

Thus, we can understand that the LCM of 584,596,270,230,684 is 5133508920.

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

• LCM of 142, 348, 463, 288, 679
• LCM of 539, 922, 959, 719, 418
• LCM of 982, 238, 901, 326, 826
• LCM of 902, 729, 805, 311, 113
• LCM of 814, 480, 359, 277, 641

1. What is the LCM of 584, 596, 270, 230, 684?

Answer: LCM of 584, 596, 270, 230, 684 is 5133508920.

2. How to calculate the LCM of 584, 596, 270, 230, 684?

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, 596, 270, 230, 684.

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}.