Given numbers are 792,194,379,219,102

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

The LCM of 792,194,379,219,102 is 36133323336.

Find LCM of 792,194,379,219,102 with Prime Factorization

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

2 x 3 x 132 x 97 x 379 x 73 x 17 = 36133323336

Therefore, the lowest common multiple of 792,194,379,219,102 is 36133323336.

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 194 x 379 x 219 x 102 = 1300799640096

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

194 : 1, 2, 97, 194

379 : 1, 379

219 : 1, 3, 73, 219

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,194,379,219,102, is 1.

Now, the common factors can be found like this.

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

194:2x 97

379:379

219:3x 73

102:2x 3x 17

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 1300799640096/(1x36)

LCM = 1300799640096/36

LCM = 36133323336

Thus, we can understand that the LCM of 792,194,379,219,102 is 36133323336.

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

• LCM of 140, 370, 538, 913, 984
• LCM of 851, 145, 575, 180, 769
• LCM of 626, 786, 443, 225, 190
• LCM of 482, 757, 396, 133, 118
• LCM of 603, 966, 261, 807, 243

1. What is the LCM of 792, 194, 379, 219, 102?

Answer: LCM of 792, 194, 379, 219, 102 is 36133323336.

2. How to calculate the LCM of 792, 194, 379, 219, 102?

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, 194, 379, 219, 102.

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}.