Given numbers are 904,627,135,468,339

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

The LCM of 904,627,135,468,339 is 331582680.

Find LCM of 904,627,135,468,339 with Prime Factorization

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

2 x 2 x 3 x 3 x 113 x 2 x 209 x 15 x 13 x 1 = 331582680

Therefore, the lowest common multiple of 904,627,135,468,339 is 331582680.

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.

904 x 627 x 135 x 468 x 339 = 12139905080160

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

627 : 1, 3, 11, 19, 33, 57, 209, 627

135 : 1, 3, 5, 9, 15, 27, 45, 135

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,627,135,468,339, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

627:3x 11x 19

135:3x 3x 3x 5

468:2x 2x 3x 3x 13

339:3x 113

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 3x 3x 113 = 36612

Therefore, the value for common factors is 36612.

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 = 12139905080160/(1x36612)

LCM = 12139905080160/36612

LCM = 331582680

Thus, we can understand that the LCM of 904,627,135,468,339 is 331582680.

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

• LCM of 311, 381, 586, 927, 808
• LCM of 556, 552, 613, 350, 854
• LCM of 738, 380, 106, 290, 962
• LCM of 468, 416, 953, 136, 820
• LCM of 306, 421, 835, 943, 763

1. What is the LCM of 904, 627, 135, 468, 339?

Answer: LCM of 904, 627, 135, 468, 339 is 331582680.

2. How to calculate the LCM of 904, 627, 135, 468, 339?

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 904, 627, 135, 468, 339.

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}.