Given numbers are 230,862,726,282,324

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

The LCM of 230,862,726,282,324 is 91327874220.

Find LCM of 230,862,726,282,324 with Prime Factorization

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

2 x 3 x 115 x 431 x 121 x 47 x 54 = 91327874220

Therefore, the lowest common multiple of 230,862,726,282,324 is 91327874220.

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.

230 x 862 x 726 x 282 x 324 = 13151213887680

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.

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

862 : 1, 2, 431, 862

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

282 : 1, 2, 3, 6, 47, 94, 141, 282

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,862,726,282,324, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

862:2x 431

726:2x 3x 11x 11

282:2x 3x 47

324:2x 2x 3x 3x 3x 3

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 13151213887680/(2x72)

LCM = 13151213887680/144

LCM = 91327874220

Thus, we can understand that the LCM of 230,862,726,282,324 is 91327874220.

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

• LCM of 646, 322, 321, 799, 121
• LCM of 551, 309, 625, 824, 293
• LCM of 544, 546, 912, 829, 706
• LCM of 323, 441, 268, 984, 831
• LCM of 929, 140, 112, 906, 139

1. What is the LCM of 230, 862, 726, 282, 324?

Answer: LCM of 230, 862, 726, 282, 324 is 91327874220.

2. How to calculate the LCM of 230, 862, 726, 282, 324?

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 230, 862, 726, 282, 324.

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}.