Given numbers are 414,208,514

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

The LCM of 414,208,514 is 11065392.

Find LCM of 414,208,514 with Prime Factorization

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

2 x 207 x 104 x 257 = 11065392

Therefore, the lowest common multiple of 414,208,514 is 11065392.

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.

414 x 208 x 514 = 44261568

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,208,514, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

208:2x 2x 2x 2x 13

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 = 44261568/(2x2)

LCM = 44261568/4

LCM = 11065392

Thus, we can understand that the LCM of 414,208,514 is 11065392.

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

• LCM of 300, 970, 702
• LCM of 209, 898, 712
• LCM of 663, 671, 171
• LCM of 311, 527, 404
• LCM of 108, 886, 488

1. What is the LCM of 414, 208, 514?

Answer: LCM of 414, 208, 514 is 11065392.

2. How to calculate the LCM of 414, 208, 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 414, 208, 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}.