Given numbers are 723,972,939,897,990

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

The LCM of 723,972,939,897,990 is 1205761805820.

Find LCM of 723,972,939,897,990 with Prime Factorization

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

2 x 3 x 3 x 241 x 54 x 313 x 299 x 55 = 1205761805820

Therefore, the lowest common multiple of 723,972,939,897,990 is 1205761805820.

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.

723 x 972 x 939 x 897 x 990 = 586000237628520

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.

723 : 1, 3, 241, 723

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

939 : 1, 3, 313, 939

897 : 1, 3, 13, 23, 39, 69, 299, 897

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,972,939,897,990, is 3.

Now, the common factors can be found like this.

723:3x 241

972:2x 2x 3x 3x 3x 3x 3

939:3x 313

897:3x 13x 23

990:2x 3x 3x 5x 11

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 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 586000237628520/(3x162)

LCM = 586000237628520/486

LCM = 1205761805820

Thus, we can understand that the LCM of 723,972,939,897,990 is 1205761805820.

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

• LCM of 900, 200, 501, 460, 493
• LCM of 174, 351, 671, 549, 173
• LCM of 152, 878, 544, 278, 934
• LCM of 480, 247, 937, 933, 236
• LCM of 460, 584, 629, 571, 404

1. What is the LCM of 723, 972, 939, 897, 990?

Answer: LCM of 723, 972, 939, 897, 990 is 1205761805820.

2. How to calculate the LCM of 723, 972, 939, 897, 990?

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 723, 972, 939, 897, 990.

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}.