Given numbers are 394,465,217,397

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

The LCM of 394,465,217,397 is 509140590.

Find LCM of 394,465,217,397 with Prime Factorization

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

31 x 394 x 15 x 7 x 397 = 509140590

Therefore, the lowest common multiple of 394,465,217,397 is 509140590.

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.

394 x 465 x 217 x 397 = 15783358290

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.

394 : 1, 2, 197, 394

465 : 1, 3, 5, 15, 31, 93, 155, 465

217 : 1, 7, 31, 217

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,465,217,397, is 1.

Now, the common factors can be found like this.

394:2x 197

465:3x 5x 31

217:7x 31

397:397

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

31 = 31

Therefore, the value for common factors is 31.

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 = 15783358290/(1x31)

LCM = 15783358290/31

LCM = 509140590

Thus, we can understand that the LCM of 394,465,217,397 is 509140590.

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

• LCM of 125, 743, 505, 490
• LCM of 421, 683, 908, 807
• LCM of 276, 195, 838, 473
• LCM of 868, 412, 982, 705
• LCM of 657, 816, 233, 382

1. What is the LCM of 394, 465, 217, 397?

Answer: LCM of 394, 465, 217, 397 is 509140590.

2. How to calculate the LCM of 394, 465, 217, 397?

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 394, 465, 217, 397.

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}.