Given numbers are 324,723,798,366,993

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

The LCM of 324,723,798,366,993 is 209687007852.

Find LCM of 324,723,798,366,993 with Prime Factorization

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

2 x 3 x 54 x 241 x 133 x 61 x 331 = 209687007852

Therefore, the lowest common multiple of 324,723,798,366,993 is 209687007852.

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.

324 x 723 x 798 x 366 x 993 = 67938590544048

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.

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

723 : 1, 3, 241, 723

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

366 : 1, 2, 3, 6, 61, 122, 183, 366

993 : 1, 3, 331, 993

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,723,798,366,993, is 3.

Now, the common factors can be found like this.

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

723:3x 241

798:2x 3x 7x 19

366:2x 3x 61

993:3x 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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 67938590544048/(3x108)

LCM = 67938590544048/324

LCM = 209687007852

Thus, we can understand that the LCM of 324,723,798,366,993 is 209687007852.

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

• LCM of 444, 810, 544, 366, 797
• LCM of 400, 996, 956, 294, 151
• LCM of 853, 651, 585, 168, 947
• LCM of 992, 226, 965, 574, 878
• LCM of 913, 806, 432, 665, 236

1. What is the LCM of 324, 723, 798, 366, 993?

Answer: LCM of 324, 723, 798, 366, 993 is 209687007852.

2. How to calculate the LCM of 324, 723, 798, 366, 993?

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 324, 723, 798, 366, 993.

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}.