Given numbers are 331,240,678,432

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

The LCM of 331,240,678,432 is 80790480.

Find LCM of 331,240,678,432 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 331 x 5 x 113 x 9 = 80790480

Therefore, the lowest common multiple of 331,240,678,432 is 80790480.

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.

331 x 240 x 678 x 432 = 23267658240

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.

331 : 1, 331

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,240,678,432, is 1.

Now, the common factors can be found like this.

331:331

240:2x 2x 2x 2x 3x 5

678:2x 3x 113

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 23267658240/(1x288)

LCM = 23267658240/288

LCM = 80790480

Thus, we can understand that the LCM of 331,240,678,432 is 80790480.

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

• LCM of 677, 485, 513, 274
• LCM of 895, 975, 504, 120
• LCM of 430, 856, 690, 670
• LCM of 622, 151, 853, 993
• LCM of 809, 550, 276, 918

1. What is the LCM of 331, 240, 678, 432?

Answer: LCM of 331, 240, 678, 432 is 80790480.

2. How to calculate the LCM of 331, 240, 678, 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 331, 240, 678, 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}.