Given numbers are 814,975,128,717

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

The LCM of 814,975,128,717 is 12139670400.

Find LCM of 814,975,128,717 with Prime Factorization

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

2 x 3 x 407 x 325 x 64 x 239 = 12139670400

Therefore, the lowest common multiple of 814,975,128,717 is 12139670400.

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.

814 x 975 x 128 x 717 = 72838022400

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

128 : 1, 2, 4, 8, 16, 32, 64, 128

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,975,128,717, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

975:3x 5x 5x 13

128:2x 2x 2x 2x 2x 2x 2

717:3x 239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 72838022400/(1x6)

LCM = 72838022400/6

LCM = 12139670400

Thus, we can understand that the LCM of 814,975,128,717 is 12139670400.

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

• LCM of 112, 325, 371, 338
• LCM of 581, 543, 664, 780
• LCM of 552, 837, 849, 963
• LCM of 166, 346, 934, 724
• LCM of 948, 704, 371, 154

1. What is the LCM of 814, 975, 128, 717?

Answer: LCM of 814, 975, 128, 717 is 12139670400.

2. How to calculate the LCM of 814, 975, 128, 717?

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 814, 975, 128, 717.

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}.