Given numbers are 685,368,814,346

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

The LCM of 685,368,814,346 is 17749204880.

Find LCM of 685,368,814,346 with Prime Factorization

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

2 x 685 x 184 x 407 x 173 = 17749204880

Therefore, the lowest common multiple of 685,368,814,346 is 17749204880.

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.

685 x 368 x 814 x 346 = 70996819520

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.

685 : 1, 5, 137, 685

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,368,814,346, is 1.

Now, the common factors can be found like this.

685:5x 137

368:2x 2x 2x 2x 23

814:2x 11x 37

346:2x 173

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 70996819520/(1x4)

LCM = 70996819520/4

LCM = 17749204880

Thus, we can understand that the LCM of 685,368,814,346 is 17749204880.

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

• LCM of 777, 437, 347, 645
• LCM of 629, 303, 697, 749
• LCM of 481, 460, 688, 930
• LCM of 812, 418, 250, 315
• LCM of 553, 898, 435, 628

1. What is the LCM of 685, 368, 814, 346?

Answer: LCM of 685, 368, 814, 346 is 17749204880.

2. How to calculate the LCM of 685, 368, 814, 346?

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 685, 368, 814, 346.

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}.