Given numbers are 800,234,286,358

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

The LCM of 800,234,286,358 is 184298400.

Find LCM of 800,234,286,358 with Prime Factorization

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

2 x 13 x 400 x 9 x 11 x 179 = 184298400

Therefore, the lowest common multiple of 800,234,286,358 is 184298400.

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 234 x 286 x 358 = 19167033600

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,234,286,358, is 2.

Now, the common factors can be found like this.

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

234:2x 3x 3x 13

286:2x 11x 13

358:2x 179

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 13 = 52

Therefore, the value for common factors is 52.

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 = 19167033600/(2x52)

LCM = 19167033600/104

LCM = 184298400

Thus, we can understand that the LCM of 800,234,286,358 is 184298400.

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

• LCM of 731, 873, 578, 309
• LCM of 549, 803, 274, 315
• LCM of 503, 956, 179, 215
• LCM of 387, 671, 925, 730
• LCM of 266, 350, 589, 128

1. What is the LCM of 800, 234, 286, 358?

Answer: LCM of 800, 234, 286, 358 is 184298400.

2. How to calculate the LCM of 800, 234, 286, 358?

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, 234, 286, 358.

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}.