Given numbers are 414,355,136,923

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

The LCM of 414,355,136,923 is 129921480.

Find LCM of 414,355,136,923 with Prime Factorization

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

2 x 71 x 207 x 5 x 68 x 13 = 129921480

Therefore, the lowest common multiple of 414,355,136,923 is 129921480.

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 355 x 136 x 923 = 18448850160

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

355 : 1, 5, 71, 355

136 : 1, 2, 4, 8, 17, 34, 68, 136

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,355,136,923, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

355:5x 71

136:2x 2x 2x 17

923:13x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 18448850160/(1x142)

LCM = 18448850160/142

LCM = 129921480

Thus, we can understand that the LCM of 414,355,136,923 is 129921480.

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

• LCM of 285, 443, 641, 101
• LCM of 362, 233, 632, 157
• LCM of 250, 465, 124, 259
• LCM of 879, 619, 764, 432
• LCM of 149, 305, 616, 391

1. What is the LCM of 414, 355, 136, 923?

Answer: LCM of 414, 355, 136, 923 is 129921480.

2. How to calculate the LCM of 414, 355, 136, 923?

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, 355, 136, 923.

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}.