Given numbers are 324,413,412,138,472

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

The LCM of 324,413,412,138,472 is 634001256.

Find LCM of 324,413,412,138,472 with Prime Factorization

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

2 x 2 x 3 x 59 x 27 x 7 x 103 x 23 x 2 = 634001256

Therefore, the lowest common multiple of 324,413,412,138,472 is 634001256.

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.

324 x 413 x 412 x 138 x 472 = 3590983113984

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

413 : 1, 7, 59, 413

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

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,413,412,138,472, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

413:7x 59

412:2x 2x 103

138:2x 3x 23

472:2x 2x 2x 59

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 2x 3x 59 = 5664

Therefore, the value for common factors is 5664.

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 = 3590983113984/(1x5664)

LCM = 3590983113984/5664

LCM = 634001256

Thus, we can understand that the LCM of 324,413,412,138,472 is 634001256.

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

• LCM of 116, 740, 559, 924, 527
• LCM of 589, 523, 646, 166, 908
• LCM of 742, 108, 147, 184, 895
• LCM of 407, 287, 296, 127, 215
• LCM of 988, 810, 105, 411, 914

1. What is the LCM of 324, 413, 412, 138, 472?

Answer: LCM of 324, 413, 412, 138, 472 is 634001256.

2. How to calculate the LCM of 324, 413, 412, 138, 472?

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 324, 413, 412, 138, 472.

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}.