Given numbers are 508,412,909,514

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

The LCM of 508,412,909,514 is 12223566612.

Find LCM of 508,412,909,514 with Prime Factorization

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

2 x 2 x 127 x 103 x 909 x 257 = 12223566612

Therefore, the lowest common multiple of 508,412,909,514 is 12223566612.

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.

508 x 412 x 909 x 514 = 97788532896

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.

508 : 1, 2, 4, 127, 254, 508

412 : 1, 2, 4, 103, 206, 412

909 : 1, 3, 9, 101, 303, 909

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,412,909,514, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

412:2x 2x 103

909:3x 3x 101

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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 97788532896/(1x8)

LCM = 97788532896/8

LCM = 12223566612

Thus, we can understand that the LCM of 508,412,909,514 is 12223566612.

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

• LCM of 832, 815, 859, 240
• LCM of 976, 634, 601, 540
• LCM of 276, 910, 680, 258
• LCM of 769, 695, 503, 790
• LCM of 764, 400, 250, 194

1. What is the LCM of 508, 412, 909, 514?

Answer: LCM of 508, 412, 909, 514 is 12223566612.

2. How to calculate the LCM of 508, 412, 909, 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 508, 412, 909, 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}.