Given numbers are 107,972,988,580,790

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

The LCM of 107,972,988,580,790 is 294267357540.

Find LCM of 107,972,988,580,790 with Prime Factorization

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

2 x 2 x 5 x 107 x 243 x 247 x 29 x 79 = 294267357540

Therefore, the lowest common multiple of 107,972,988,580,790 is 294267357540.

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.

107 x 972 x 988 x 580 x 790 = 47082777206400

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.

107 : 1, 107

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,972,988,580,790, is 1.

Now, the common factors can be found like this.

107:107

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

988:2x 2x 13x 19

580:2x 2x 5x 29

790:2x 5x 79

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 5 = 160

Therefore, the value for common factors is 160.

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 = 47082777206400/(1x160)

LCM = 47082777206400/160

LCM = 294267357540

Thus, we can understand that the LCM of 107,972,988,580,790 is 294267357540.

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

• LCM of 245, 119, 780, 510, 527
• LCM of 526, 875, 989, 230, 970
• LCM of 235, 538, 758, 824, 525
• LCM of 548, 505, 698, 515, 326
• LCM of 196, 699, 376, 449, 335

1. What is the LCM of 107, 972, 988, 580, 790?

Answer: LCM of 107, 972, 988, 580, 790 is 294267357540.

2. How to calculate the LCM of 107, 972, 988, 580, 790?

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 107, 972, 988, 580, 790.

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}.