Given numbers are 383,305,268,514

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

The LCM of 383,305,268,514 is 8045749940.

Find LCM of 383,305,268,514 with Prime Factorization

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

2 x 383 x 305 x 134 x 257 = 8045749940

Therefore, the lowest common multiple of 383,305,268,514 is 8045749940.

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.

383 x 305 x 268 x 514 = 16091499880

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.

383 : 1, 383

305 : 1, 5, 61, 305

268 : 1, 2, 4, 67, 134, 268

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,305,268,514, is 1.

Now, the common factors can be found like this.

383:383

305:5x 61

268:2x 2x 67

514:2x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16091499880/(1x2)

LCM = 16091499880/2

LCM = 8045749940

Thus, we can understand that the LCM of 383,305,268,514 is 8045749940.

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

• LCM of 334, 196, 486, 908
• LCM of 734, 310, 983, 195
• LCM of 263, 501, 430, 511
• LCM of 629, 339, 957, 212
• LCM of 948, 233, 925, 249

1. What is the LCM of 383, 305, 268, 514?

Answer: LCM of 383, 305, 268, 514 is 8045749940.

2. How to calculate the LCM of 383, 305, 268, 514?

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 383, 305, 268, 514.

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}.