Given numbers are 129,208,750,412,138

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

The LCM of 129,208,750,412,138 is 7945626000.

Find LCM of 129,208,750,412,138 with Prime Factorization

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

2 x 2 x 3 x 43 x 52 x 125 x 103 x 23 = 7945626000

Therefore, the lowest common multiple of 129,208,750,412,138 is 7945626000.

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.

129 x 208 x 750 x 412 x 138 = 1144170144000

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.

129 : 1, 3, 43, 129

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,208,750,412,138, is 1.

Now, the common factors can be found like this.

129:3x 43

208:2x 2x 2x 2x 13

750:2x 3x 5x 5x 5

412:2x 2x 103

138:2x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 1144170144000/(1x144)

LCM = 1144170144000/144

LCM = 7945626000

Thus, we can understand that the LCM of 129,208,750,412,138 is 7945626000.

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

• LCM of 755, 449, 589, 295, 815
• LCM of 680, 447, 639, 397, 960
• LCM of 688, 250, 799, 548, 606
• LCM of 502, 722, 978, 310, 456
• LCM of 341, 999, 557, 902, 490

1. What is the LCM of 129, 208, 750, 412, 138?

Answer: LCM of 129, 208, 750, 412, 138 is 7945626000.

2. How to calculate the LCM of 129, 208, 750, 412, 138?

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 129, 208, 750, 412, 138.

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}.