Given numbers are 205,281,550,214

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

The LCM of 205,281,550,214 is 678010850.

Find LCM of 205,281,550,214 with Prime Factorization

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

2 x 5 x 41 x 281 x 55 x 107 = 678010850

Therefore, the lowest common multiple of 205,281,550,214 is 678010850.

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.

205 x 281 x 550 x 214 = 6780108500

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.

205 : 1, 5, 41, 205

281 : 1, 281

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,281,550,214, is 1.

Now, the common factors can be found like this.

205:5x 41

281:281

550:2x 5x 5x 11

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 5 = 10

Therefore, the value for common factors is 10.

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 = 6780108500/(1x10)

LCM = 6780108500/10

LCM = 678010850

Thus, we can understand that the LCM of 205,281,550,214 is 678010850.

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

• LCM of 429, 139, 557, 427
• LCM of 257, 314, 704, 899
• LCM of 831, 726, 278, 520
• LCM of 807, 600, 324, 865
• LCM of 287, 574, 461, 343

1. What is the LCM of 205, 281, 550, 214?

Answer: LCM of 205, 281, 550, 214 is 678010850.

2. How to calculate the LCM of 205, 281, 550, 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 205, 281, 550, 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}.