Given numbers are 596,608,556,948,199

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

The LCM of 596,608,556,948,199 is 593890078944.

Find LCM of 596,608,556,948,199 with Prime Factorization

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

2 x 2 x 149 x 152 x 139 x 237 x 199 = 593890078944

Therefore, the lowest common multiple of 596,608,556,948,199 is 593890078944.

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 608 x 556 x 948 x 199 = 38008965052416

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

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

556 : 1, 2, 4, 139, 278, 556

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,608,556,948,199, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

608:2x 2x 2x 2x 2x 19

556:2x 2x 139

948:2x 2x 3x 79

199:199

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 38008965052416/(1x64)

LCM = 38008965052416/64

LCM = 593890078944

Thus, we can understand that the LCM of 596,608,556,948,199 is 593890078944.

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

• LCM of 644, 891, 361, 855, 956
• LCM of 711, 410, 284, 321, 212
• LCM of 473, 161, 333, 139, 824
• LCM of 815, 390, 376, 330, 171
• LCM of 413, 515, 790, 459, 843

1. What is the LCM of 596, 608, 556, 948, 199?

Answer: LCM of 596, 608, 556, 948, 199 is 593890078944.

2. How to calculate the LCM of 596, 608, 556, 948, 199?

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, 608, 556, 948, 199.

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}.