Given numbers are 232,538,280,218,528

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

The LCM of 232,538,280,218,528 is 15713710320.

Find LCM of 232,538,280,218,528 with Prime Factorization

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

2 x 2 x 2 x 29 x 269 x 35 x 109 x 66 = 15713710320

Therefore, the lowest common multiple of 232,538,280,218,528 is 15713710320.

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.

232 x 538 x 280 x 218 x 528 = 4022709841920

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

538 : 1, 2, 269, 538

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

218 : 1, 2, 109, 218

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,538,280,218,528, is 2.

Now, the common factors can be found like this.

232:2x 2x 2x 29

538:2x 269

280:2x 2x 2x 5x 7

218:2x 109

528:2x 2x 2x 2x 3x 11

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 2 = 128

Therefore, the value for common factors is 128.

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 = 4022709841920/(2x128)

LCM = 4022709841920/256

LCM = 15713710320

Thus, we can understand that the LCM of 232,538,280,218,528 is 15713710320.

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

• LCM of 575, 927, 443, 536, 280
• LCM of 166, 514, 894, 338, 957
• LCM of 192, 604, 671, 258, 300
• LCM of 903, 649, 944, 671, 495
• LCM of 215, 849, 423, 442, 196

1. What is the LCM of 232, 538, 280, 218, 528?

Answer: LCM of 232, 538, 280, 218, 528 is 15713710320.

2. How to calculate the LCM of 232, 538, 280, 218, 528?

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 232, 538, 280, 218, 528.

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}.