Given numbers are 499,722,361

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

The LCM of 499,722,361 is 360278.

Find LCM of 499,722,361 with Prime Factorization

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

19 x 19 x 499 x 2 x 1 = 360278

Therefore, the lowest common multiple of 499,722,361 is 360278.

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.

499 x 722 x 361 = 130060358

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.

499 : 1, 499

722 : 1, 2, 19, 38, 361, 722

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,722,361, is 1.

Now, the common factors can be found like this.

499:499

722:2x 19x 19

361:19x 19

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 130060358/(1x361)

LCM = 130060358/361

LCM = 360278

Thus, we can understand that the LCM of 499,722,361 is 360278.

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

• LCM of 400, 209, 415
• LCM of 157, 856, 440
• LCM of 107, 284, 974
• LCM of 409, 385, 556
• LCM of 719, 287, 794

1. What is the LCM of 499, 722, 361?

Answer: LCM of 499, 722, 361 is 360278.

2. How to calculate the LCM of 499, 722, 361?

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 499, 722, 361.

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}.