Given numbers are 397,284,312,922

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

The LCM of 397,284,312,922 is 4054192584.

Find LCM of 397,284,312,922 with Prime Factorization

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

2 x 2 x 397 x 71 x 78 x 461 = 4054192584

Therefore, the lowest common multiple of 397,284,312,922 is 4054192584.

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.

397 x 284 x 312 x 922 = 32433540672

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.

397 : 1, 397

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

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

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,284,312,922, is 1.

Now, the common factors can be found like this.

397:397

284:2x 2x 71

312:2x 2x 2x 3x 13

922:2x 461

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32433540672/(1x8)

LCM = 32433540672/8

LCM = 4054192584

Thus, we can understand that the LCM of 397,284,312,922 is 4054192584.

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

• LCM of 660, 692, 478, 260
• LCM of 189, 714, 701, 815
• LCM of 208, 166, 497, 195
• LCM of 222, 753, 850, 947
• LCM of 724, 403, 210, 668

1. What is the LCM of 397, 284, 312, 922?

Answer: LCM of 397, 284, 312, 922 is 4054192584.

2. How to calculate the LCM of 397, 284, 312, 922?

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 397, 284, 312, 922.

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}.