Given numbers are 414,992,432,687

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

The LCM of 414,992,432,687 is 141071328.

Find LCM of 414,992,432,687 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 23 x 62 x 3 x 229 = 141071328

Therefore, the lowest common multiple of 414,992,432,687 is 141071328.

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.

414 x 992 x 432 x 687 = 121885627392

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.

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,992,432,687, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

992:2x 2x 2x 2x 2x 31

432:2x 2x 2x 2x 3x 3x 3

687:3x 229

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 121885627392/(1x864)

LCM = 121885627392/864

LCM = 141071328

Thus, we can understand that the LCM of 414,992,432,687 is 141071328.

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

• LCM of 924, 754, 127, 314
• LCM of 902, 510, 644, 979
• LCM of 862, 287, 992, 245
• LCM of 460, 299, 541, 437
• LCM of 516, 622, 721, 733

1. What is the LCM of 414, 992, 432, 687?

Answer: LCM of 414, 992, 432, 687 is 141071328.

2. How to calculate the LCM of 414, 992, 432, 687?

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 414, 992, 432, 687.

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}.