Given numbers are 584,257,102,488

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

The LCM of 584,257,102,488 is 466923768.

Find LCM of 584,257,102,488 with Prime Factorization

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

2 x 2 x 2 x 73 x 257 x 51 x 61 = 466923768

Therefore, the lowest common multiple of 584,257,102,488 is 466923768.

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 257 x 102 x 488 = 7470780288

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

257 : 1, 257

102 : 1, 2, 3, 6, 17, 34, 51, 102

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,257,102,488, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

257:257

102:2x 3x 17

488:2x 2x 2x 61

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 = 7470780288/(1x16)

LCM = 7470780288/16

LCM = 466923768

Thus, we can understand that the LCM of 584,257,102,488 is 466923768.

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

• LCM of 726, 742, 294, 456
• LCM of 961, 840, 853, 875
• LCM of 418, 470, 221, 836
• LCM of 460, 673, 808, 643
• LCM of 543, 676, 596, 115

1. What is the LCM of 584, 257, 102, 488?

Answer: LCM of 584, 257, 102, 488 is 466923768.

2. How to calculate the LCM of 584, 257, 102, 488?

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, 257, 102, 488.

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}.