Given numbers are 385,261,224,566

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

The LCM of 385,261,224,566 is 909992160.

Find LCM of 385,261,224,566 with Prime Factorization

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

2 x 7 x 55 x 261 x 16 x 283 = 909992160

Therefore, the lowest common multiple of 385,261,224,566 is 909992160.

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.

385 x 261 x 224 x 566 = 12739890240

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

261 : 1, 3, 9, 29, 87, 261

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,261,224,566, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

261:3x 3x 29

224:2x 2x 2x 2x 2x 7

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 12739890240/(1x14)

LCM = 12739890240/14

LCM = 909992160

Thus, we can understand that the LCM of 385,261,224,566 is 909992160.

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

• LCM of 131, 708, 877, 197
• LCM of 653, 814, 372, 510
• LCM of 975, 434, 520, 843
• LCM of 141, 366, 333, 233
• LCM of 649, 721, 293, 330

1. What is the LCM of 385, 261, 224, 566?

Answer: LCM of 385, 261, 224, 566 is 909992160.

2. How to calculate the LCM of 385, 261, 224, 566?

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 385, 261, 224, 566.

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}.