Given numbers are 596,287,347,342

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

The LCM of 596,287,347,342 is 10149712524.

Find LCM of 596,287,347,342 with Prime Factorization

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

2 x 298 x 287 x 347 x 171 = 10149712524

Therefore, the lowest common multiple of 596,287,347,342 is 10149712524.

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.

596 x 287 x 347 x 342 = 20299425048

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.

596 : 1, 2, 4, 149, 298, 596

287 : 1, 7, 41, 287

347 : 1, 347

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,287,347,342, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

287:7x 41

347:347

342:2x 3x 3x 19

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 = 20299425048/(1x2)

LCM = 20299425048/2

LCM = 10149712524

Thus, we can understand that the LCM of 596,287,347,342 is 10149712524.

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

• LCM of 396, 468, 118, 796
• LCM of 618, 637, 251, 213
• LCM of 381, 310, 802, 952
• LCM of 855, 970, 174, 902
• LCM of 621, 674, 103, 337

1. What is the LCM of 596, 287, 347, 342?

Answer: LCM of 596, 287, 347, 342 is 10149712524.

2. How to calculate the LCM of 596, 287, 347, 342?

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 596, 287, 347, 342.

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}.