Given numbers are 842,284,213,299

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

The LCM of 842,284,213,299 is 107248908.

Find LCM of 842,284,213,299 with Prime Factorization

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

2 x 71 x 421 x 2 x 3 x 299 = 107248908

Therefore, the lowest common multiple of 842,284,213,299 is 107248908.

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.

842 x 284 x 213 x 299 = 15229344936

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.

842 : 1, 2, 421, 842

284 : 1, 2, 4, 71, 142, 284

213 : 1, 3, 71, 213

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,284,213,299, is 1.

Now, the common factors can be found like this.

842:2x 421

284:2x 2x 71

213:3x 71

299:13x 23

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 15229344936/(1x142)

LCM = 15229344936/142

LCM = 107248908

Thus, we can understand that the LCM of 842,284,213,299 is 107248908.

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

• LCM of 516, 821, 695, 317
• LCM of 754, 829, 191, 195
• LCM of 990, 709, 655, 331
• LCM of 299, 682, 373, 722
• LCM of 727, 531, 594, 395

1. What is the LCM of 842, 284, 213, 299?

Answer: LCM of 842, 284, 213, 299 is 107248908.

2. How to calculate the LCM of 842, 284, 213, 299?

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 842, 284, 213, 299.

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}.