Given numbers are 301,382,228,246

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

The LCM of 301,382,228,246 is 537425868.

Find LCM of 301,382,228,246 with Prime Factorization

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

2 x 3 x 301 x 191 x 38 x 41 = 537425868

Therefore, the lowest common multiple of 301,382,228,246 is 537425868.

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.

301 x 382 x 228 x 246 = 6449110416

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.

301 : 1, 7, 43, 301

382 : 1, 2, 191, 382

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,382,228,246, is 1.

Now, the common factors can be found like this.

301:7x 43

382:2x 191

228:2x 2x 3x 19

246:2x 3x 41

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 = 6449110416/(1x12)

LCM = 6449110416/12

LCM = 537425868

Thus, we can understand that the LCM of 301,382,228,246 is 537425868.

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

• LCM of 436, 387, 775, 340
• LCM of 155, 523, 465, 842
• LCM of 566, 908, 790, 914
• LCM of 240, 401, 431, 300
• LCM of 200, 851, 978, 994

1. What is the LCM of 301, 382, 228, 246?

Answer: LCM of 301, 382, 228, 246 is 537425868.

2. How to calculate the LCM of 301, 382, 228, 246?

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 301, 382, 228, 246.

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}.