Given numbers are 286,104,112,844,548

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

The LCM of 286,104,112,844,548 is 462974512.

Find LCM of 286,104,112,844,548 with Prime Factorization

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

2 x 2 x 2 x 13 x 11 x 1 x 14 x 211 x 137 = 462974512

Therefore, the lowest common multiple of 286,104,112,844,548 is 462974512.

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.

286 x 104 x 112 x 844 x 548 = 1540779175936

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

844 : 1, 2, 4, 211, 422, 844

548 : 1, 2, 4, 137, 274, 548

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,104,112,844,548, is 2.

Now, the common factors can be found like this.

286:2x 11x 13

104:2x 2x 2x 13

112:2x 2x 2x 2x 7

844:2x 2x 211

548:2x 2x 137

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 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 1540779175936/(2x1664)

LCM = 1540779175936/3328

LCM = 462974512

Thus, we can understand that the LCM of 286,104,112,844,548 is 462974512.

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

• LCM of 525, 182, 444, 360, 894
• LCM of 584, 631, 655, 522, 277
• LCM of 296, 256, 682, 105, 515
• LCM of 854, 292, 407, 463, 415
• LCM of 236, 749, 628, 447, 597

1. What is the LCM of 286, 104, 112, 844, 548?

Answer: LCM of 286, 104, 112, 844, 548 is 462974512.

2. How to calculate the LCM of 286, 104, 112, 844, 548?

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 286, 104, 112, 844, 548.

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}.