Given numbers are 564,324,230,258,791

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

The LCM of 564,324,230,258,791 is 59564245860.

Find LCM of 564,324,230,258,791 with Prime Factorization

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

2 x 2 x 3 x 47 x 27 x 115 x 43 x 791 = 59564245860

Therefore, the lowest common multiple of 564,324,230,258,791 is 59564245860.

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.

564 x 324 x 230 x 258 x 791 = 8577251403840

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,324,230,258,791, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

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

230:2x 5x 23

258:2x 3x 43

791:7x 113

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 3 = 144

Therefore, the value for common factors is 144.

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 = 8577251403840/(1x144)

LCM = 8577251403840/144

LCM = 59564245860

Thus, we can understand that the LCM of 564,324,230,258,791 is 59564245860.

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

• LCM of 675, 124, 294, 994, 161
• LCM of 838, 983, 642, 908, 174
• LCM of 998, 259, 870, 609, 667
• LCM of 327, 230, 168, 324, 557
• LCM of 572, 812, 306, 273, 951

1. What is the LCM of 564, 324, 230, 258, 791?

Answer: LCM of 564, 324, 230, 258, 791 is 59564245860.

2. How to calculate the LCM of 564, 324, 230, 258, 791?

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 564, 324, 230, 258, 791.

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}.