Given numbers are 351,401,398,417

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

The LCM of 351,401,398,417 is 7786626822.

Find LCM of 351,401,398,417 with Prime Factorization

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

3 x 117 x 401 x 398 x 139 = 7786626822

Therefore, the lowest common multiple of 351,401,398,417 is 7786626822.

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.

351 x 401 x 398 x 417 = 23359880466

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

401 : 1, 401

398 : 1, 2, 199, 398

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,401,398,417, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

401:401

398:2x 199

417:3x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 23359880466/(1x3)

LCM = 23359880466/3

LCM = 7786626822

Thus, we can understand that the LCM of 351,401,398,417 is 7786626822.

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

• LCM of 745, 270, 851, 139
• LCM of 183, 725, 198, 142
• LCM of 406, 803, 619, 426
• LCM of 683, 851, 412, 611
• LCM of 141, 592, 113, 283

1. What is the LCM of 351, 401, 398, 417?

Answer: LCM of 351, 401, 398, 417 is 7786626822.

2. How to calculate the LCM of 351, 401, 398, 417?

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 351, 401, 398, 417.

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}.