Given numbers are 546,857,440,625,214

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

The LCM of 546,857,440,625,214 is 1376860485000.

Find LCM of 546,857,440,625,214 with Prime Factorization

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

2 x 5 x 273 x 857 x 44 x 125 x 107 = 1376860485000

Therefore, the lowest common multiple of 546,857,440,625,214 is 1376860485000.

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.

546 x 857 x 440 x 625 x 214 = 27537209700000

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

857 : 1, 857

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

625 : 1, 5, 25, 125, 625

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,857,440,625,214, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

857:857

440:2x 2x 2x 5x 11

625:5x 5x 5x 5

214:2x 107

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 5 = 20

Therefore, the value for common factors is 20.

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 = 27537209700000/(1x20)

LCM = 27537209700000/20

LCM = 1376860485000

Thus, we can understand that the LCM of 546,857,440,625,214 is 1376860485000.

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

• LCM of 466, 412, 574, 224, 788
• LCM of 687, 382, 150, 940, 242
• LCM of 665, 726, 753, 341, 965
• LCM of 815, 655, 372, 207, 527
• LCM of 681, 977, 499, 399, 601

1. What is the LCM of 546, 857, 440, 625, 214?

Answer: LCM of 546, 857, 440, 625, 214 is 1376860485000.

2. How to calculate the LCM of 546, 857, 440, 625, 214?

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 546, 857, 440, 625, 214.

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}.