Given numbers are 998,970,493,912,646

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

The LCM of 998,970,493,912,646 is 108813816240.

Find LCM of 998,970,493,912,646 with Prime Factorization

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

2 x 17 x 19 x 499 x 485 x 29 x 24 x 1 = 108813816240

Therefore, the lowest common multiple of 998,970,493,912,646 is 108813816240.

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 970 x 493 x 912 x 646 = 281174901164160

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

493 : 1, 17, 29, 493

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,970,493,912,646, is 1.

Now, the common factors can be found like this.

998:2x 499

970:2x 5x 97

493:17x 29

912:2x 2x 2x 2x 3x 19

646:2x 17x 19

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 17x 19 = 2584

Therefore, the value for common factors is 2584.

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 = 281174901164160/(1x2584)

LCM = 281174901164160/2584

LCM = 108813816240

Thus, we can understand that the LCM of 998,970,493,912,646 is 108813816240.

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

• LCM of 980, 694, 129, 510, 458
• LCM of 784, 654, 590, 786, 261
• LCM of 907, 432, 487, 504, 417
• LCM of 846, 890, 211, 305, 159
• LCM of 200, 811, 398, 129, 310

1. What is the LCM of 998, 970, 493, 912, 646?

Answer: LCM of 998, 970, 493, 912, 646 is 108813816240.

2. How to calculate the LCM of 998, 970, 493, 912, 646?

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, 970, 493, 912, 646.

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}.