Given numbers are 933,120,142,939

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

The LCM of 933,120,142,939 is 829362360.

Find LCM of 933,120,142,939 with Prime Factorization

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

2 x 3 x 311 x 20 x 71 x 313 = 829362360

Therefore, the lowest common multiple of 933,120,142,939 is 829362360.

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.

933 x 120 x 142 x 939 = 14928522480

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.

933 : 1, 3, 311, 933

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

142 : 1, 2, 71, 142

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,120,142,939, is 1.

Now, the common factors can be found like this.

933:3x 311

120:2x 2x 2x 3x 5

142:2x 71

939:3x 313

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 3 = 18

Therefore, the value for common factors is 18.

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 = 14928522480/(1x18)

LCM = 14928522480/18

LCM = 829362360

Thus, we can understand that the LCM of 933,120,142,939 is 829362360.

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

• LCM of 626, 489, 369, 718
• LCM of 510, 898, 632, 671
• LCM of 540, 363, 510, 949
• LCM of 969, 213, 920, 973
• LCM of 816, 559, 732, 871

1. What is the LCM of 933, 120, 142, 939?

Answer: LCM of 933, 120, 142, 939 is 829362360.

2. How to calculate the LCM of 933, 120, 142, 939?

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 933, 120, 142, 939.

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}.