Given numbers are 228,399,513,230,331

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

The LCM of 228,399,513,230,331 is 546765660.

Find LCM of 228,399,513,230,331 with Prime Factorization

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

2 x 3 x 19 x 2 x 7 x 9 x 115 x 331 = 546765660

Therefore, the lowest common multiple of 228,399,513,230,331 is 546765660.

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 399 x 513 x 230 x 331 = 3552883258680

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

513 : 1, 3, 9, 19, 27, 57, 171, 513

230 : 1, 2, 5, 10, 23, 46, 115, 230

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,399,513,230,331, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

399:3x 7x 19

513:3x 3x 3x 19

230:2x 5x 23

331:331

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

2x 3x 3x 19x 19 = 6498

Therefore, the value for common factors is 6498.

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 = 3552883258680/(1x6498)

LCM = 3552883258680/6498

LCM = 546765660

Thus, we can understand that the LCM of 228,399,513,230,331 is 546765660.

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

• LCM of 755, 172, 702, 825, 659
• LCM of 658, 243, 273, 285, 139
• LCM of 938, 865, 760, 915, 970
• LCM of 321, 485, 191, 710, 626
• LCM of 518, 652, 628, 208, 463

1. What is the LCM of 228, 399, 513, 230, 331?

Answer: LCM of 228, 399, 513, 230, 331 is 546765660.

2. How to calculate the LCM of 228, 399, 513, 230, 331?

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, 399, 513, 230, 331.

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}.