Given numbers are 800,823,225,343

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

The LCM of 800,823,225,343 is 2032480800.

Find LCM of 800,823,225,343 with Prime Factorization

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

5 x 5 x 32 x 823 x 9 x 343 = 2032480800

Therefore, the lowest common multiple of 800,823,225,343 is 2032480800.

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 823 x 225 x 343 = 50812020000

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

823 : 1, 823

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,823,225,343, is 1.

Now, the common factors can be found like this.

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

823:823

225:3x 3x 5x 5

343:7x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 50812020000/(1x25)

LCM = 50812020000/25

LCM = 2032480800

Thus, we can understand that the LCM of 800,823,225,343 is 2032480800.

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

• LCM of 137, 744, 358, 514
• LCM of 941, 622, 903, 408
• LCM of 732, 123, 912, 623
• LCM of 986, 296, 269, 317
• LCM of 210, 262, 686, 268

1. What is the LCM of 800, 823, 225, 343?

Answer: LCM of 800, 823, 225, 343 is 2032480800.

2. How to calculate the LCM of 800, 823, 225, 343?

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, 823, 225, 343.

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}.