Given numbers are 498,629,317,782

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

The LCM of 498,629,317,782 is 2283847422.

Find LCM of 498,629,317,782 with Prime Factorization

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

2 x 17 x 249 x 37 x 317 x 23 = 2283847422

Therefore, the lowest common multiple of 498,629,317,782 is 2283847422.

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.

498 x 629 x 317 x 782 = 77650812348

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

629 : 1, 17, 37, 629

317 : 1, 317

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,629,317,782, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

629:17x 37

317:317

782:2x 17x 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 17 = 34

Therefore, the value for common factors is 34.

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 = 77650812348/(1x34)

LCM = 77650812348/34

LCM = 2283847422

Thus, we can understand that the LCM of 498,629,317,782 is 2283847422.

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

• LCM of 681, 927, 319, 169
• LCM of 284, 665, 952, 346
• LCM of 504, 216, 997, 506
• LCM of 642, 711, 465, 212
• LCM of 359, 218, 858, 467

1. What is the LCM of 498, 629, 317, 782?

Answer: LCM of 498, 629, 317, 782 is 2283847422.

2. How to calculate the LCM of 498, 629, 317, 782?

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 498, 629, 317, 782.

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}.