Given numbers are 228,816,323,878,398

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

The LCM of 228,816,323,878,398 is 1354444944.

Find LCM of 228,816,323,878,398 with Prime Factorization

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

2 x 2 x 3 x 17 x 19 x 1 x 4 x 1 x 439 x 199 = 1354444944

Therefore, the lowest common multiple of 228,816,323,878,398 is 1354444944.

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.

228 x 816 x 323 x 878 x 398 = 20999314411776

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

323 : 1, 17, 19, 323

878 : 1, 2, 439, 878

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,816,323,878,398, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

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

323:17x 19

878:2x 439

398:2x 199

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 2x 2x 3x 17x 19 = 15504

Therefore, the value for common factors is 15504.

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 = 20999314411776/(1x15504)

LCM = 20999314411776/15504

LCM = 1354444944

Thus, we can understand that the LCM of 228,816,323,878,398 is 1354444944.

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

• LCM of 387, 188, 555, 652, 883
• LCM of 143, 116, 480, 464, 368
• LCM of 469, 385, 921, 349, 109
• LCM of 705, 820, 330, 598, 739
• LCM of 303, 528, 952, 553, 839

1. What is the LCM of 228, 816, 323, 878, 398?

Answer: LCM of 228, 816, 323, 878, 398 is 1354444944.

2. How to calculate the LCM of 228, 816, 323, 878, 398?

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 228, 816, 323, 878, 398.

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}.