Given numbers are 138,559,192,770,914

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

The LCM of 138,559,192,770,914 is 434327974080.

Find LCM of 138,559,192,770,914 with Prime Factorization

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

2 x 3 x 23 x 559 x 32 x 385 x 457 = 434327974080

Therefore, the lowest common multiple of 138,559,192,770,914 is 434327974080.

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.

138 x 559 x 192 x 770 x 914 = 10423871377920

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

559 : 1, 13, 43, 559

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,559,192,770,914, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

559:13x 43

192:2x 2x 2x 2x 2x 2x 3

770:2x 5x 7x 11

914:2x 457

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10423871377920/(1x24)

LCM = 10423871377920/24

LCM = 434327974080

Thus, we can understand that the LCM of 138,559,192,770,914 is 434327974080.

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

• LCM of 760, 663, 520, 743, 127
• LCM of 966, 758, 963, 131, 840
• LCM of 520, 740, 805, 170, 359
• LCM of 602, 103, 832, 983, 580
• LCM of 515, 733, 338, 694, 301

1. What is the LCM of 138, 559, 192, 770, 914?

Answer: LCM of 138, 559, 192, 770, 914 is 434327974080.

2. How to calculate the LCM of 138, 559, 192, 770, 914?

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 138, 559, 192, 770, 914.

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}.