Given numbers are 792,972,170,197,774

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

The LCM of 792,972,170,197,774 is 15397228440.

Find LCM of 792,972,170,197,774 with Prime Factorization

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

2 x 2 x 3 x 3 x 22 x 27 x 85 x 197 x 43 = 15397228440

Therefore, the lowest common multiple of 792,972,170,197,774 is 15397228440.

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.

792 x 972 x 170 x 197 x 774 = 19954808058240

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

170 : 1, 2, 5, 10, 17, 34, 85, 170

197 : 1, 197

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,972,170,197,774, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

972:2x 2x 3x 3x 3x 3x 3

170:2x 5x 17

197:197

774:2x 3x 3x 43

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

2x 2x 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 19954808058240/(1x1296)

LCM = 19954808058240/1296

LCM = 15397228440

Thus, we can understand that the LCM of 792,972,170,197,774 is 15397228440.

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

• LCM of 273, 994, 978, 813, 992
• LCM of 621, 978, 652, 740, 839
• LCM of 950, 380, 279, 624, 243
• LCM of 962, 375, 372, 846, 296
• LCM of 632, 184, 591, 992, 192

1. What is the LCM of 792, 972, 170, 197, 774?

Answer: LCM of 792, 972, 170, 197, 774 is 15397228440.

2. How to calculate the LCM of 792, 972, 170, 197, 774?

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 792, 972, 170, 197, 774.

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}.