Given numbers are 445,378,588,334,286

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

The LCM of 445,378,588,334,286 is 56238322140.

Find LCM of 445,378,588,334,286 with Prime Factorization

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

2 x 3 x 7 x 445 x 9 x 14 x 167 x 143 = 56238322140

Therefore, the lowest common multiple of 445,378,588,334,286 is 56238322140.

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.

445 x 378 x 588 x 334 x 286 = 9448038119520

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.

445 : 1, 5, 89, 445

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

334 : 1, 2, 167, 334

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,378,588,334,286, is 1.

Now, the common factors can be found like this.

445:5x 89

378:2x 3x 3x 3x 7

588:2x 2x 3x 7x 7

334:2x 167

286:2x 11x 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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 9448038119520/(1x168)

LCM = 9448038119520/168

LCM = 56238322140

Thus, we can understand that the LCM of 445,378,588,334,286 is 56238322140.

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

• LCM of 818, 380, 929, 837, 648
• LCM of 403, 868, 150, 199, 516
• LCM of 806, 299, 554, 371, 593
• LCM of 367, 469, 219, 425, 898
• LCM of 293, 423, 475, 170, 363

1. What is the LCM of 445, 378, 588, 334, 286?

Answer: LCM of 445, 378, 588, 334, 286 is 56238322140.

2. How to calculate the LCM of 445, 378, 588, 334, 286?

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 445, 378, 588, 334, 286.

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}.