Given numbers are 498,177,514,604

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

The LCM of 498,177,514,604 is 2280454548.

Find LCM of 498,177,514,604 with Prime Factorization

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

2 x 3 x 83 x 59 x 257 x 302 = 2280454548

Therefore, the lowest common multiple of 498,177,514,604 is 2280454548.

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.

498 x 177 x 514 x 604 = 27365454576

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.

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

177 : 1, 3, 59, 177

514 : 1, 2, 257, 514

604 : 1, 2, 4, 151, 302, 604

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,177,514,604, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

177:3x 59

514:2x 257

604:2x 2x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 27365454576/(1x12)

LCM = 27365454576/12

LCM = 2280454548

Thus, we can understand that the LCM of 498,177,514,604 is 2280454548.

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

• LCM of 488, 365, 486, 162
• LCM of 563, 459, 632, 729
• LCM of 560, 773, 896, 406
• LCM of 149, 604, 428, 235
• LCM of 458, 397, 231, 843

1. What is the LCM of 498, 177, 514, 604?

Answer: LCM of 498, 177, 514, 604 is 2280454548.

2. How to calculate the LCM of 498, 177, 514, 604?

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 498, 177, 514, 604.

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}.