Given numbers are 306,704,124,412,432

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

The LCM of 306,704,124,412,432 is 1031773248.

Find LCM of 306,704,124,412,432 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 17 x 44 x 31 x 103 x 3 = 1031773248

Therefore, the lowest common multiple of 306,704,124,412,432 is 1031773248.

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.

306 x 704 x 124 x 412 x 432 = 4754411126784

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

124 : 1, 2, 4, 31, 62, 124

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,704,124,412,432, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

704:2x 2x 2x 2x 2x 2x 11

124:2x 2x 31

412:2x 2x 103

432:2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 4754411126784/(2x2304)

LCM = 4754411126784/4608

LCM = 1031773248

Thus, we can understand that the LCM of 306,704,124,412,432 is 1031773248.

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

• LCM of 262, 972, 520, 695, 996
• LCM of 563, 546, 775, 381, 862
• LCM of 128, 490, 815, 641, 319
• LCM of 446, 483, 878, 926, 589
• LCM of 839, 400, 607, 404, 564

1. What is the LCM of 306, 704, 124, 412, 432?

Answer: LCM of 306, 704, 124, 412, 432 is 1031773248.

2. How to calculate the LCM of 306, 704, 124, 412, 432?

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 306, 704, 124, 412, 432.

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}.