Given numbers are 487,104,218,364

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

The LCM of 487,104,218,364 is 38644424.

Find LCM of 487,104,218,364 with Prime Factorization

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

2 x 2 x 13 x 487 x 2 x 109 x 7 = 38644424

Therefore, the lowest common multiple of 487,104,218,364 is 38644424.

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.

487 x 104 x 218 x 364 = 4019020096

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.

487 : 1, 487

104 : 1, 2, 4, 8, 13, 26, 52, 104

218 : 1, 2, 109, 218

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,104,218,364, is 1.

Now, the common factors can be found like this.

487:487

104:2x 2x 2x 13

218:2x 109

364:2x 2x 7x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 4019020096/(1x104)

LCM = 4019020096/104

LCM = 38644424

Thus, we can understand that the LCM of 487,104,218,364 is 38644424.

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

• LCM of 230, 791, 744, 415
• LCM of 754, 465, 556, 680
• LCM of 538, 993, 394, 490
• LCM of 221, 218, 300, 979
• LCM of 455, 802, 509, 227

1. What is the LCM of 487, 104, 218, 364?

Answer: LCM of 487, 104, 218, 364 is 38644424.

2. How to calculate the LCM of 487, 104, 218, 364?

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 487, 104, 218, 364.

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}.