Given numbers are 939,582,150,378,948

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

The LCM of 939,582,150,378,948 is 45332009100.

Find LCM of 939,582,150,378,948 with Prime Factorization

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

2 x 3 x 313 x 97 x 25 x 63 x 158 = 45332009100

Therefore, the lowest common multiple of 939,582,150,378,948 is 45332009100.

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.

939 x 582 x 150 x 378 x 948 = 29375141896800

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.

939 : 1, 3, 313, 939

582 : 1, 2, 3, 6, 97, 194, 291, 582

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,582,150,378,948, is 3.

Now, the common factors can be found like this.

939:3x 313

582:2x 3x 97

150:2x 3x 5x 5

378:2x 3x 3x 3x 7

948:2x 2x 3x 79

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 29375141896800/(3x216)

LCM = 29375141896800/648

LCM = 45332009100

Thus, we can understand that the LCM of 939,582,150,378,948 is 45332009100.

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

• LCM of 256, 995, 258, 514, 412
• LCM of 803, 777, 520, 533, 471
• LCM of 957, 148, 976, 761, 976
• LCM of 569, 767, 317, 401, 834
• LCM of 798, 146, 999, 832, 673

1. What is the LCM of 939, 582, 150, 378, 948?

Answer: LCM of 939, 582, 150, 378, 948 is 45332009100.

2. How to calculate the LCM of 939, 582, 150, 378, 948?

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 939, 582, 150, 378, 948.

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}.