Given numbers are 998,382,470,782

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

The LCM of 998,382,470,782 is 17514934930.

Find LCM of 998,382,470,782 with Prime Factorization

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

2 x 499 x 191 x 235 x 391 = 17514934930

Therefore, the lowest common multiple of 998,382,470,782 is 17514934930.

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.

998 x 382 x 470 x 782 = 140119479440

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.

998 : 1, 2, 499, 998

382 : 1, 2, 191, 382

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,382,470,782, is 2.

Now, the common factors can be found like this.

998:2x 499

382:2x 191

470:2x 5x 47

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 2 = 4

Therefore, the value for common factors is 4.

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 = 140119479440/(2x4)

LCM = 140119479440/8

LCM = 17514934930

Thus, we can understand that the LCM of 998,382,470,782 is 17514934930.

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

• LCM of 971, 355, 893, 663
• LCM of 897, 443, 584, 484
• LCM of 785, 715, 564, 523
• LCM of 232, 535, 366, 404
• LCM of 645, 331, 869, 425

1. What is the LCM of 998, 382, 470, 782?

Answer: LCM of 998, 382, 470, 782 is 17514934930.

2. How to calculate the LCM of 998, 382, 470, 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 998, 382, 470, 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}.