Given numbers are 998,723,514

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

The LCM of 998,723,514 is 185439378.

Find LCM of 998,723,514 with Prime Factorization

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

2 x 499 x 723 x 257 = 185439378

Therefore, the lowest common multiple of 998,723,514 is 185439378.

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 723 x 514 = 370878756

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

723 : 1, 3, 241, 723

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,723,514, is 1.

Now, the common factors can be found like this.

998:2x 499

723:3x 241

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 370878756/(1x2)

LCM = 370878756/2

LCM = 185439378

Thus, we can understand that the LCM of 998,723,514 is 185439378.

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

• LCM of 644, 771, 825
• LCM of 980, 905, 570
• LCM of 684, 991, 741
• LCM of 204, 139, 569
• LCM of 177, 710, 844

1. What is the LCM of 998, 723, 514?

Answer: LCM of 998, 723, 514 is 185439378.

2. How to calculate the LCM of 998, 723, 514?

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, 723, 514.

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}.