Given numbers are 332,128,546,174,390

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

The LCM of 332,128,546,174,390 is 420551040.

Find LCM of 332,128,546,174,390 with Prime Factorization

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

2 x 2 x 3 x 13 x 83 x 32 x 7 x 29 x 5 = 420551040

Therefore, the lowest common multiple of 332,128,546,174,390 is 420551040.

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.

332 x 128 x 546 x 174 x 390 = 1574543093760

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.

332 : 1, 2, 4, 83, 166, 332

128 : 1, 2, 4, 8, 16, 32, 64, 128

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

174 : 1, 2, 3, 6, 29, 58, 87, 174

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,128,546,174,390, is 2.

Now, the common factors can be found like this.

332:2x 2x 83

128:2x 2x 2x 2x 2x 2x 2

546:2x 3x 7x 13

174:2x 3x 29

390:2x 3x 5x 13

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 1574543093760/(2x1872)

LCM = 1574543093760/3744

LCM = 420551040

Thus, we can understand that the LCM of 332,128,546,174,390 is 420551040.

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

• LCM of 158, 156, 315, 160, 513
• LCM of 181, 588, 962, 839, 183
• LCM of 488, 464, 762, 303, 744
• LCM of 919, 378, 166, 513, 769
• LCM of 198, 949, 229, 405, 659

1. What is the LCM of 332, 128, 546, 174, 390?

Answer: LCM of 332, 128, 546, 174, 390 is 420551040.

2. How to calculate the LCM of 332, 128, 546, 174, 390?

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 332, 128, 546, 174, 390.

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}.