Given numbers are 800,201,990,890,378

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

The LCM of 800,201,990,890,378 is 9917661600.

Find LCM of 800,201,990,890,378 with Prime Factorization

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

2 x 3 x 3 x 5 x 80 x 67 x 11 x 89 x 21 = 9917661600

Therefore, the lowest common multiple of 800,201,990,890,378 is 9917661600.

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.

800 x 201 x 990 x 890 x 378 = 53555372640000

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

201 : 1, 3, 67, 201

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

890 : 1, 2, 5, 10, 89, 178, 445, 890

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,201,990,890,378, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

201:3x 67

990:2x 3x 3x 5x 11

890:2x 5x 89

378:2x 3x 3x 3x 7

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 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 53555372640000/(1x5400)

LCM = 53555372640000/5400

LCM = 9917661600

Thus, we can understand that the LCM of 800,201,990,890,378 is 9917661600.

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

• LCM of 355, 311, 394, 548, 489
• LCM of 765, 694, 317, 419, 822
• LCM of 106, 131, 199, 650, 855
• LCM of 132, 727, 844, 539, 402
• LCM of 303, 692, 722, 782, 491

1. What is the LCM of 800, 201, 990, 890, 378?

Answer: LCM of 800, 201, 990, 890, 378 is 9917661600.

2. How to calculate the LCM of 800, 201, 990, 890, 378?

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 800, 201, 990, 890, 378.

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}.