Given numbers are 480,992,778,414,487

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

The LCM of 480,992,778,414,487 is 194504916960.

Find LCM of 480,992,778,414,487 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 389 x 69 x 487 = 194504916960

Therefore, the lowest common multiple of 480,992,778,414,487 is 194504916960.

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.

480 x 992 x 778 x 414 x 487 = 74689888112640

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

778 : 1, 2, 389, 778

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

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,992,778,414,487, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

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

778:2x 389

414:2x 3x 3x 23

487:487

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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 74689888112640/(1x384)

LCM = 74689888112640/384

LCM = 194504916960

Thus, we can understand that the LCM of 480,992,778,414,487 is 194504916960.

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

• LCM of 972, 829, 161, 978, 401
• LCM of 988, 106, 526, 935, 597
• LCM of 134, 106, 407, 399, 471
• LCM of 202, 118, 570, 694, 200
• LCM of 258, 238, 474, 612, 463

1. What is the LCM of 480, 992, 778, 414, 487?

Answer: LCM of 480, 992, 778, 414, 487 is 194504916960.

2. How to calculate the LCM of 480, 992, 778, 414, 487?

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 480, 992, 778, 414, 487.

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}.