Given numbers are 146,438,412,838,414

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

The LCM of 146,438,412,838,414 is 2608581708.

Find LCM of 146,438,412,838,414 with Prime Factorization

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

2 x 3 x 73 x 1 x 1 x 206 x 419 x 69 = 2608581708

Therefore, the lowest common multiple of 146,438,412,838,414 is 2608581708.

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.

146 x 438 x 412 x 838 x 414 = 9140470304832

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.

146 : 1, 2, 73, 146

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

838 : 1, 2, 419, 838

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,438,412,838,414, is 2.

Now, the common factors can be found like this.

146:2x 73

438:2x 3x 73

412:2x 2x 103

838:2x 419

414:2x 3x 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 3x 73 = 1752

Therefore, the value for common factors is 1752.

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 = 9140470304832/(2x1752)

LCM = 9140470304832/3504

LCM = 2608581708

Thus, we can understand that the LCM of 146,438,412,838,414 is 2608581708.

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

• LCM of 339, 933, 703, 395, 709
• LCM of 288, 333, 487, 594, 665
• LCM of 390, 522, 649, 780, 256
• LCM of 976, 365, 942, 819, 288
• LCM of 657, 896, 932, 548, 981

1. What is the LCM of 146, 438, 412, 838, 414?

Answer: LCM of 146, 438, 412, 838, 414 is 2608581708.

2. How to calculate the LCM of 146, 438, 412, 838, 414?

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 146, 438, 412, 838, 414.

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}.