Given numbers are 585,304,112,338,251

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

The LCM of 585,304,112,338,251 is 4062043440.

Find LCM of 585,304,112,338,251 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 45 x 19 x 7 x 13 x 251 = 4062043440

Therefore, the lowest common multiple of 585,304,112,338,251 is 4062043440.

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.

585 x 304 x 112 x 338 x 251 = 1689810071040

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

338 : 1, 2, 13, 26, 169, 338

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,304,112,338,251, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

304:2x 2x 2x 2x 19

112:2x 2x 2x 2x 7

338:2x 13x 13

251:251

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 13 = 416

Therefore, the value for common factors is 416.

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 = 1689810071040/(1x416)

LCM = 1689810071040/416

LCM = 4062043440

Thus, we can understand that the LCM of 585,304,112,338,251 is 4062043440.

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

• LCM of 788, 695, 171, 468, 263
• LCM of 968, 365, 750, 951, 467
• LCM of 710, 274, 275, 547, 412
• LCM of 314, 818, 441, 200, 706
• LCM of 797, 212, 588, 907, 960

1. What is the LCM of 585, 304, 112, 338, 251?

Answer: LCM of 585, 304, 112, 338, 251 is 4062043440.

2. How to calculate the LCM of 585, 304, 112, 338, 251?

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 585, 304, 112, 338, 251.

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}.