Given numbers are 505,458,514

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

The LCM of 505,458,514 is 59441530.

Find LCM of 505,458,514 with Prime Factorization

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

2 x 505 x 229 x 257 = 59441530

Therefore, the lowest common multiple of 505,458,514 is 59441530.

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.

505 x 458 x 514 = 118883060

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.

505 : 1, 5, 101, 505

458 : 1, 2, 229, 458

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,458,514, is 1.

Now, the common factors can be found like this.

505:5x 101

458:2x 229

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 = 118883060/(1x2)

LCM = 118883060/2

LCM = 59441530

Thus, we can understand that the LCM of 505,458,514 is 59441530.

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

• LCM of 237, 456, 117
• LCM of 648, 977, 806
• LCM of 375, 914, 997
• LCM of 966, 629, 976
• LCM of 330, 589, 515

1. What is the LCM of 505, 458, 514?

Answer: LCM of 505, 458, 514 is 59441530.

2. How to calculate the LCM of 505, 458, 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 505, 458, 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}.