Given numbers are 284,312,133,391

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

The LCM of 284,312,133,391 is 1151970456.

Find LCM of 284,312,133,391 with Prime Factorization

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

2 x 2 x 71 x 78 x 133 x 391 = 1151970456

Therefore, the lowest common multiple of 284,312,133,391 is 1151970456.

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 312 x 133 x 391 = 4607881824

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

133 : 1, 7, 19, 133

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,312,133,391, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

312:2x 2x 2x 3x 13

133:7x 19

391:17x 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 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 = 4607881824/(1x4)

LCM = 4607881824/4

LCM = 1151970456

Thus, we can understand that the LCM of 284,312,133,391 is 1151970456.

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

• LCM of 497, 308, 626, 904
• LCM of 446, 565, 109, 922
• LCM of 987, 227, 860, 669
• LCM of 258, 712, 222, 732
• LCM of 498, 255, 171, 333

1. What is the LCM of 284, 312, 133, 391?

Answer: LCM of 284, 312, 133, 391 is 1151970456.

2. How to calculate the LCM of 284, 312, 133, 391?

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, 312, 133, 391.

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}.