Given numbers are 114,755,104,642

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

The LCM of 114,755,104,642 is 478893480.

Find LCM of 114,755,104,642 with Prime Factorization

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

2 x 3 x 19 x 755 x 52 x 107 = 478893480

Therefore, the lowest common multiple of 114,755,104,642 is 478893480.

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.

114 x 755 x 104 x 642 = 5746721760

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

755 : 1, 5, 151, 755

104 : 1, 2, 4, 8, 13, 26, 52, 104

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,755,104,642, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

755:5x 151

104:2x 2x 2x 13

642:2x 3x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5746721760/(1x12)

LCM = 5746721760/12

LCM = 478893480

Thus, we can understand that the LCM of 114,755,104,642 is 478893480.

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

• LCM of 754, 948, 938, 921
• LCM of 960, 137, 479, 815
• LCM of 281, 434, 180, 482
• LCM of 549, 150, 982, 633
• LCM of 330, 978, 656, 323

1. What is the LCM of 114, 755, 104, 642?

Answer: LCM of 114, 755, 104, 642 is 478893480.

2. How to calculate the LCM of 114, 755, 104, 642?

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 114, 755, 104, 642.

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}.