Given numbers are 428,285,189,206

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

The LCM of 428,285,189,206 is 791528220.

Find LCM of 428,285,189,206 with Prime Factorization

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

2 x 3 x 214 x 95 x 63 x 103 = 791528220

Therefore, the lowest common multiple of 428,285,189,206 is 791528220.

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.

428 x 285 x 189 x 206 = 4749169320

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.

428 : 1, 2, 4, 107, 214, 428

285 : 1, 3, 5, 15, 19, 57, 95, 285

189 : 1, 3, 7, 9, 21, 27, 63, 189

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,285,189,206, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

285:3x 5x 19

189:3x 3x 3x 7

206:2x 103

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4749169320/(1x6)

LCM = 4749169320/6

LCM = 791528220

Thus, we can understand that the LCM of 428,285,189,206 is 791528220.

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

• LCM of 268, 677, 440, 765
• LCM of 860, 197, 435, 381
• LCM of 604, 534, 835, 183
• LCM of 927, 768, 106, 602
• LCM of 277, 111, 291, 457

1. What is the LCM of 428, 285, 189, 206?

Answer: LCM of 428, 285, 189, 206 is 791528220.

2. How to calculate the LCM of 428, 285, 189, 206?

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 428, 285, 189, 206.

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}.