Given numbers are 741,660,576,187

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

The LCM of 741,660,576,187 is 133024320.

Find LCM of 741,660,576,187 with Prime Factorization

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

2 x 2 x 3 x 11 x 247 x 5 x 48 x 17 = 133024320

Therefore, the lowest common multiple of 741,660,576,187 is 133024320.

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.

741 x 660 x 576 x 187 = 52677630720

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,660,576,187, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

660:2x 2x 3x 5x 11

576:2x 2x 2x 2x 2x 2x 3x 3

187:11x 17

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 52677630720/(1x396)

LCM = 52677630720/396

LCM = 133024320

Thus, we can understand that the LCM of 741,660,576,187 is 133024320.

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

• LCM of 978, 882, 712, 229
• LCM of 590, 977, 162, 244
• LCM of 652, 164, 829, 240
• LCM of 828, 920, 105, 564
• LCM of 243, 903, 489, 840

1. What is the LCM of 741, 660, 576, 187?

Answer: LCM of 741, 660, 576, 187 is 133024320.

2. How to calculate the LCM of 741, 660, 576, 187?

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 741, 660, 576, 187.

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}.