Given numbers are 969,933,942,207,792

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

The LCM of 969,933,942,207,792 is 287286740136.

Find LCM of 969,933,942,207,792 with Prime Factorization

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

2 x 3 x 3 x 323 x 311 x 157 x 23 x 44 = 287286740136

Therefore, the lowest common multiple of 969,933,942,207,792 is 287286740136.

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.

969 x 933 x 942 x 207 x 792 = 139621355706096

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.

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

933 : 1, 3, 311, 933

942 : 1, 2, 3, 6, 157, 314, 471, 942

207 : 1, 3, 9, 23, 69, 207

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,933,942,207,792, is 3.

Now, the common factors can be found like this.

969:3x 17x 19

933:3x 311

942:2x 3x 157

207:3x 3x 23

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

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 139621355706096/(3x162)

LCM = 139621355706096/486

LCM = 287286740136

Thus, we can understand that the LCM of 969,933,942,207,792 is 287286740136.

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

• LCM of 852, 413, 280, 723, 379
• LCM of 972, 467, 302, 738, 193
• LCM of 262, 720, 748, 238, 832
• LCM of 249, 619, 185, 772, 758
• LCM of 862, 827, 881, 435, 900

1. What is the LCM of 969, 933, 942, 207, 792?

Answer: LCM of 969, 933, 942, 207, 792 is 287286740136.

2. How to calculate the LCM of 969, 933, 942, 207, 792?

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 969, 933, 942, 207, 792.

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}.