Given numbers are 217,195,197,117,582

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

The LCM of 217,195,197,117,582 is 4851584010.

Find LCM of 217,195,197,117,582 with Prime Factorization

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

3 x 13 x 217 x 5 x 197 x 3 x 194 = 4851584010

Therefore, the lowest common multiple of 217,195,197,117,582 is 4851584010.

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.

217 x 195 x 197 x 117 x 582 = 567635329170

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.

217 : 1, 7, 31, 217

195 : 1, 3, 5, 13, 15, 39, 65, 195

197 : 1, 197

117 : 1, 3, 9, 13, 39, 117

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,195,197,117,582, is 1.

Now, the common factors can be found like this.

217:7x 31

195:3x 5x 13

197:197

117:3x 3x 13

582:2x 3x 97

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 567635329170/(1x117)

LCM = 567635329170/117

LCM = 4851584010

Thus, we can understand that the LCM of 217,195,197,117,582 is 4851584010.

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

• LCM of 207, 736, 362, 677, 981
• LCM of 393, 812, 135, 827, 687
• LCM of 481, 589, 754, 217, 682
• LCM of 663, 902, 380, 413, 571
• LCM of 661, 524, 812, 200, 853

1. What is the LCM of 217, 195, 197, 117, 582?

Answer: LCM of 217, 195, 197, 117, 582 is 4851584010.

2. How to calculate the LCM of 217, 195, 197, 117, 582?

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 217, 195, 197, 117, 582.

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}.