Given numbers are 284,270,361,422

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

The LCM of 284,270,361,422 is 2920396140.

Find LCM of 284,270,361,422 with Prime Factorization

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

2 x 142 x 135 x 361 x 211 = 2920396140

Therefore, the lowest common multiple of 284,270,361,422 is 2920396140.

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.

284 x 270 x 361 x 422 = 11681584560

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.

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

361 : 1, 19, 361

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,270,361,422, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

270:2x 3x 3x 3x 5

361:19x 19

422:2x 211

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11681584560/(1x4)

LCM = 11681584560/4

LCM = 2920396140

Thus, we can understand that the LCM of 284,270,361,422 is 2920396140.

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

• LCM of 613, 535, 652, 217
• LCM of 433, 918, 299, 904
• LCM of 423, 955, 599, 694
• LCM of 673, 682, 181, 753
• LCM of 360, 464, 962, 849

1. What is the LCM of 284, 270, 361, 422?

Answer: LCM of 284, 270, 361, 422 is 2920396140.

2. How to calculate the LCM of 284, 270, 361, 422?

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 284, 270, 361, 422.

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}.