Given numbers are 792,214,696,418,964

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

The LCM of 792,214,696,418,964 is 11253240504.

Find LCM of 792,214,696,418,964 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 3 x 107 x 29 x 19 x 241 = 11253240504

Therefore, the lowest common multiple of 792,214,696,418,964 is 11253240504.

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 214 x 696 x 418 x 964 = 47533687888896

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

214 : 1, 2, 107, 214

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

418 : 1, 2, 11, 19, 22, 38, 209, 418

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,214,696,418,964, is 2.

Now, the common factors can be found like this.

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

214:2x 107

696:2x 2x 2x 3x 29

418:2x 11x 19

964:2x 2x 241

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 2x 2x 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 47533687888896/(2x2112)

LCM = 47533687888896/4224

LCM = 11253240504

Thus, we can understand that the LCM of 792,214,696,418,964 is 11253240504.

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

• LCM of 486, 461, 940, 835, 775
• LCM of 510, 252, 281, 774, 255
• LCM of 543, 276, 846, 922, 994
• LCM of 803, 940, 544, 942, 168
• LCM of 847, 542, 273, 624, 440

1. What is the LCM of 792, 214, 696, 418, 964?

Answer: LCM of 792, 214, 696, 418, 964 is 11253240504.

2. How to calculate the LCM of 792, 214, 696, 418, 964?

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, 214, 696, 418, 964.

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}.