Given numbers are 398,406,816,351

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

The LCM of 398,406,816,351 is 3856782384.

Find LCM of 398,406,816,351 with Prime Factorization

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

2 x 3 x 199 x 203 x 136 x 117 = 3856782384

Therefore, the lowest common multiple of 398,406,816,351 is 3856782384.

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.

398 x 406 x 816 x 351 = 46281388608

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.

398 : 1, 2, 199, 398

406 : 1, 2, 7, 14, 29, 58, 203, 406

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,406,816,351, is 1.

Now, the common factors can be found like this.

398:2x 199

406:2x 7x 29

816:2x 2x 2x 2x 3x 17

351:3x 3x 3x 13

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 = 46281388608/(1x12)

LCM = 46281388608/12

LCM = 3856782384

Thus, we can understand that the LCM of 398,406,816,351 is 3856782384.

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

• LCM of 976, 823, 520, 744
• LCM of 443, 773, 776, 243
• LCM of 765, 581, 171, 196
• LCM of 869, 900, 853, 668
• LCM of 842, 481, 718, 212

1. What is the LCM of 398, 406, 816, 351?

Answer: LCM of 398, 406, 816, 351 is 3856782384.

2. How to calculate the LCM of 398, 406, 816, 351?

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 398, 406, 816, 351.

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}.