Given numbers are 734,271,298,311

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

The LCM of 734,271,298,311 is 9217475846.

Find LCM of 734,271,298,311 with Prime Factorization

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

2 x 367 x 271 x 149 x 311 = 9217475846

Therefore, the lowest common multiple of 734,271,298,311 is 9217475846.

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.

734 x 271 x 298 x 311 = 18434951692

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.

734 : 1, 2, 367, 734

271 : 1, 271

298 : 1, 2, 149, 298

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,271,298,311, is 1.

Now, the common factors can be found like this.

734:2x 367

271:271

298:2x 149

311:311

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 = 18434951692/(1x2)

LCM = 18434951692/2

LCM = 9217475846

Thus, we can understand that the LCM of 734,271,298,311 is 9217475846.

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

• LCM of 979, 554, 155, 919
• LCM of 522, 947, 466, 659
• LCM of 821, 447, 391, 996
• LCM of 628, 614, 141, 145
• LCM of 433, 283, 382, 876

1. What is the LCM of 734, 271, 298, 311?

Answer: LCM of 734, 271, 298, 311 is 9217475846.

2. How to calculate the LCM of 734, 271, 298, 311?

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 734, 271, 298, 311.

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}.