Given numbers are 939,438,296,612,204

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

The LCM of 939,438,296,612,204 is 1034785512.

Find LCM of 939,438,296,612,204 with Prime Factorization

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

2 x 2 x 3 x 17 x 313 x 73 x 74 x 1 x 3 = 1034785512

Therefore, the lowest common multiple of 939,438,296,612,204 is 1034785512.

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 438 x 296 x 612 x 204 = 15198929600256

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

296 : 1, 2, 4, 8, 37, 74, 148, 296

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,438,296,612,204, is 1.

Now, the common factors can be found like this.

939:3x 313

438:2x 3x 73

296:2x 2x 2x 37

612:2x 2x 3x 3x 17

204:2x 2x 3x 17

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 2x 3x 3x 3x 17 = 14688

Therefore, the value for common factors is 14688.

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 = 15198929600256/(1x14688)

LCM = 15198929600256/14688

LCM = 1034785512

Thus, we can understand that the LCM of 939,438,296,612,204 is 1034785512.

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

• LCM of 839, 556, 762, 747, 103
• LCM of 541, 476, 808, 691, 805
• LCM of 530, 669, 755, 864, 910
• LCM of 768, 394, 850, 455, 644
• LCM of 930, 273, 803, 918, 773

1. What is the LCM of 939, 438, 296, 612, 204?

Answer: LCM of 939, 438, 296, 612, 204 is 1034785512.

2. How to calculate the LCM of 939, 438, 296, 612, 204?

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, 438, 296, 612, 204.

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}.