Given numbers are 239,172,475,522,528

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

The LCM of 239,172,475,522,528 is 224240029200.

Find LCM of 239,172,475,522,528 with Prime Factorization

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

2 x 2 x 3 x 239 x 43 x 475 x 87 x 44 = 224240029200

Therefore, the lowest common multiple of 239,172,475,522,528 is 224240029200.

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.

239 x 172 x 475 x 522 x 528 = 5381760700800

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.

239 : 1, 239

172 : 1, 2, 4, 43, 86, 172

475 : 1, 5, 19, 25, 95, 475

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,172,475,522,528, is 1.

Now, the common factors can be found like this.

239:239

172:2x 2x 43

475:5x 5x 19

522:2x 3x 3x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5381760700800/(1x24)

LCM = 5381760700800/24

LCM = 224240029200

Thus, we can understand that the LCM of 239,172,475,522,528 is 224240029200.

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

• LCM of 660, 119, 788, 540, 545
• LCM of 779, 356, 624, 550, 435
• LCM of 948, 857, 571, 197, 930
• LCM of 219, 300, 680, 422, 393
• LCM of 342, 772, 828, 848, 970

1. What is the LCM of 239, 172, 475, 522, 528?

Answer: LCM of 239, 172, 475, 522, 528 is 224240029200.

2. How to calculate the LCM of 239, 172, 475, 522, 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 239, 172, 475, 522, 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}.