Given numbers are 800,402,102,206

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

The LCM of 800,402,102,206 is 281560800.

Find LCM of 800,402,102,206 with Prime Factorization

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

2 x 3 x 400 x 67 x 17 x 103 = 281560800

Therefore, the lowest common multiple of 800,402,102,206 is 281560800.

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 402 x 102 x 206 = 6757459200

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

102 : 1, 2, 3, 6, 17, 34, 51, 102

206 : 1, 2, 103, 206

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,402,102,206, is 2.

Now, the common factors can be found like this.

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

402:2x 3x 67

102:2x 3x 17

206:2x 103

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6757459200/(2x12)

LCM = 6757459200/24

LCM = 281560800

Thus, we can understand that the LCM of 800,402,102,206 is 281560800.

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

• LCM of 223, 181, 588, 146
• LCM of 390, 435, 589, 879
• LCM of 970, 172, 367, 378
• LCM of 158, 272, 859, 256
• LCM of 191, 108, 421, 968

1. What is the LCM of 800, 402, 102, 206?

Answer: LCM of 800, 402, 102, 206 is 281560800.

2. How to calculate the LCM of 800, 402, 102, 206?

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, 402, 102, 206.

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}.