Given numbers are 193,217,180,557,969

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

The LCM of 193,217,180,557,969 is 1356273466380.

Find LCM of 193,217,180,557,969 with Prime Factorization

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

3 x 193 x 217 x 60 x 557 x 323 = 1356273466380

Therefore, the lowest common multiple of 193,217,180,557,969 is 1356273466380.

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.

193 x 217 x 180 x 557 x 969 = 4068820399140

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.

193 : 1, 193

217 : 1, 7, 31, 217

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

557 : 1, 557

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,217,180,557,969, is 1.

Now, the common factors can be found like this.

193:193

217:7x 31

180:2x 2x 3x 3x 5

557:557

969:3x 17x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4068820399140/(1x3)

LCM = 4068820399140/3

LCM = 1356273466380

Thus, we can understand that the LCM of 193,217,180,557,969 is 1356273466380.

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

• LCM of 377, 299, 723, 793, 565
• LCM of 213, 333, 951, 980, 645
• LCM of 661, 412, 197, 761, 650
• LCM of 853, 499, 707, 379, 917
• LCM of 591, 887, 110, 576, 578

1. What is the LCM of 193, 217, 180, 557, 969?

Answer: LCM of 193, 217, 180, 557, 969 is 1356273466380.

2. How to calculate the LCM of 193, 217, 180, 557, 969?

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 193, 217, 180, 557, 969.

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}.