Given numbers are 548,296,289,313

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

The LCM of 548,296,289,313 is 3668212264.

Find LCM of 548,296,289,313 with Prime Factorization

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

2 x 2 x 137 x 74 x 289 x 313 = 3668212264

Therefore, the lowest common multiple of 548,296,289,313 is 3668212264.

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.

548 x 296 x 289 x 313 = 14672849056

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.

548 : 1, 2, 4, 137, 274, 548

296 : 1, 2, 4, 8, 37, 74, 148, 296

289 : 1, 17, 289

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,296,289,313, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

296:2x 2x 2x 37

289:17x 17

313:313

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14672849056/(1x4)

LCM = 14672849056/4

LCM = 3668212264

Thus, we can understand that the LCM of 548,296,289,313 is 3668212264.

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

• LCM of 549, 912, 723, 398
• LCM of 156, 348, 227, 741
• LCM of 980, 194, 527, 818
• LCM of 930, 208, 650, 310
• LCM of 661, 657, 725, 523

1. What is the LCM of 548, 296, 289, 313?

Answer: LCM of 548, 296, 289, 313 is 3668212264.

2. How to calculate the LCM of 548, 296, 289, 313?

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 548, 296, 289, 313.

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}.