Given numbers are 364,857,231,840,414

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

The LCM of 364,857,231,840,414 is 7103055960.

Find LCM of 364,857,231,840,414 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 857 x 11 x 10 x 69 = 7103055960

Therefore, the lowest common multiple of 364,857,231,840,414 is 7103055960.

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.

364 x 857 x 231 x 840 x 414 = 25059581426880

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

857 : 1, 857

231 : 1, 3, 7, 11, 21, 33, 77, 231

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,857,231,840,414, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

857:857

231:3x 7x 11

840:2x 2x 2x 3x 5x 7

414:2x 3x 3x 23

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 25059581426880/(1x3528)

LCM = 25059581426880/3528

LCM = 7103055960

Thus, we can understand that the LCM of 364,857,231,840,414 is 7103055960.

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

• LCM of 991, 457, 270, 123, 219
• LCM of 269, 679, 658, 460, 693
• LCM of 842, 420, 316, 479, 442
• LCM of 845, 638, 873, 609, 801
• LCM of 335, 282, 659, 292, 130

1. What is the LCM of 364, 857, 231, 840, 414?

Answer: LCM of 364, 857, 231, 840, 414 is 7103055960.

2. How to calculate the LCM of 364, 857, 231, 840, 414?

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 364, 857, 231, 840, 414.

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}.