Given numbers are 414,430,129,618,872

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

The LCM of 414,430,129,618,872 is 3997261080.

Find LCM of 414,430,129,618,872 with Prime Factorization

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

2 x 3 x 43 x 69 x 5 x 1 x 103 x 436 = 3997261080

Therefore, the lowest common multiple of 414,430,129,618,872 is 3997261080.

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.

414 x 430 x 129 x 618 x 872 = 12375520303680

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

430 : 1, 2, 5, 10, 43, 86, 215, 430

129 : 1, 3, 43, 129

618 : 1, 2, 3, 6, 103, 206, 309, 618

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,430,129,618,872, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

430:2x 5x 43

129:3x 43

618:2x 3x 103

872:2x 2x 2x 109

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 3x 3x 43 = 3096

Therefore, the value for common factors is 3096.

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 = 12375520303680/(1x3096)

LCM = 12375520303680/3096

LCM = 3997261080

Thus, we can understand that the LCM of 414,430,129,618,872 is 3997261080.

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

• LCM of 926, 707, 416, 818, 789
• LCM of 180, 346, 117, 384, 574
• LCM of 912, 569, 426, 192, 939
• LCM of 257, 722, 998, 117, 865
• LCM of 810, 496, 710, 495, 236

1. What is the LCM of 414, 430, 129, 618, 872?

Answer: LCM of 414, 430, 129, 618, 872 is 3997261080.

2. How to calculate the LCM of 414, 430, 129, 618, 872?

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 414, 430, 129, 618, 872.

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}.