Given numbers are 493,414,204,214

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

The LCM of 493,414,204,214 is 43677828.

Find LCM of 493,414,204,214 with Prime Factorization

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

2 x 3 x 17 x 29 x 69 x 2 x 107 = 43677828

Therefore, the lowest common multiple of 493,414,204,214 is 43677828.

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.

493 x 414 x 204 x 214 = 8910276912

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.

493 : 1, 17, 29, 493

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,414,204,214, is 1.

Now, the common factors can be found like this.

493:17x 29

414:2x 3x 3x 23

204:2x 2x 3x 17

214:2x 107

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 8910276912/(1x204)

LCM = 8910276912/204

LCM = 43677828

Thus, we can understand that the LCM of 493,414,204,214 is 43677828.

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

• LCM of 609, 149, 989, 883
• LCM of 490, 277, 924, 484
• LCM of 755, 130, 420, 980
• LCM of 646, 152, 456, 893
• LCM of 617, 164, 372, 188

1. What is the LCM of 493, 414, 204, 214?

Answer: LCM of 493, 414, 204, 214 is 43677828.

2. How to calculate the LCM of 493, 414, 204, 214?

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 493, 414, 204, 214.

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}.