Given numbers are 319,9449,498

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

The LCM of 319,9449,498 is 136462458.

Find LCM of 319,9449,498 with Prime Factorization

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

11 x 29 x 859 x 498 = 136462458

Therefore, the lowest common multiple of 319,9449,498 is 136462458.

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.

319 x 9449 x 498 = 1501087038

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.

319 : 1, 11, 29, 319

9449 : 1, 11, 859, 9449

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,9449,498, is 1.

Now, the common factors can be found like this.

319:11x 29

9449:11x 859

498:2x 3x 83

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

11 = 11

Therefore, the value for common factors is 11.

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 = 1501087038/(1x11)

LCM = 1501087038/11

LCM = 136462458

Thus, we can understand that the LCM of 319,9449,498 is 136462458.

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

• LCM of 111, 8730, 254
• LCM of 286, 4378, 517
• LCM of 508, 1767, 118
• LCM of 999, 5493, 272
• LCM of 849, 9779, 937

1. What is the LCM of 319, 9449, 498?

Answer: LCM of 319, 9449, 498 is 136462458.

2. How to calculate the LCM of 319, 9449, 498?

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 319, 9449, 498.

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}.