Given numbers are 998,149,314

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

The LCM of 998,149,314 is 23346214.

Find LCM of 998,149,314 with Prime Factorization

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

2 x 499 x 149 x 157 = 23346214

Therefore, the lowest common multiple of 998,149,314 is 23346214.

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 149 x 314 = 46692428

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

149 : 1, 149

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,149,314, is 1.

Now, the common factors can be found like this.

998:2x 499

149:149

314:2x 157

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 = 46692428/(1x2)

LCM = 46692428/2

LCM = 23346214

Thus, we can understand that the LCM of 998,149,314 is 23346214.

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

• LCM of 919, 451, 857
• LCM of 196, 126, 177
• LCM of 762, 987, 783
• LCM of 935, 894, 204
• LCM of 794, 563, 588

1. What is the LCM of 998, 149, 314?

Answer: LCM of 998, 149, 314 is 23346214.

2. How to calculate the LCM of 998, 149, 314?

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, 149, 314.

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}.