Given numbers are 214,409,166,628

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

The LCM of 214,409,166,628 is 2281102612.

Find LCM of 214,409,166,628 with Prime Factorization

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

2 x 107 x 409 x 83 x 314 = 2281102612

Therefore, the lowest common multiple of 214,409,166,628 is 2281102612.

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.

214 x 409 x 166 x 628 = 9124410448

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.

214 : 1, 2, 107, 214

409 : 1, 409

166 : 1, 2, 83, 166

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,409,166,628, is 1.

Now, the common factors can be found like this.

214:2x 107

409:409

166:2x 83

628:2x 2x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9124410448/(1x4)

LCM = 9124410448/4

LCM = 2281102612

Thus, we can understand that the LCM of 214,409,166,628 is 2281102612.

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

• LCM of 731, 480, 390, 775
• LCM of 345, 815, 203, 270
• LCM of 132, 192, 560, 623
• LCM of 254, 755, 408, 472
• LCM of 385, 742, 388, 253

1. What is the LCM of 214, 409, 166, 628?

Answer: LCM of 214, 409, 166, 628 is 2281102612.

2. How to calculate the LCM of 214, 409, 166, 628?

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 214, 409, 166, 628.

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}.