Given numbers are 331,214,544,696,275

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

The LCM of 331,214,544,696,275 is 460959338400.

Find LCM of 331,214,544,696,275 with Prime Factorization

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

2 x 2 x 2 x 331 x 107 x 68 x 87 x 275 = 460959338400

Therefore, the lowest common multiple of 331,214,544,696,275 is 460959338400.

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.

331 x 214 x 544 x 696 x 275 = 7375349414400

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.

331 : 1, 331

214 : 1, 2, 107, 214

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,214,544,696,275, is 1.

Now, the common factors can be found like this.

331:331

214:2x 107

544:2x 2x 2x 2x 2x 17

696:2x 2x 2x 3x 29

275:5x 5x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7375349414400/(1x16)

LCM = 7375349414400/16

LCM = 460959338400

Thus, we can understand that the LCM of 331,214,544,696,275 is 460959338400.

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

• LCM of 854, 445, 898, 321, 648
• LCM of 790, 958, 354, 637, 704
• LCM of 457, 200, 161, 160, 145
• LCM of 152, 833, 258, 752, 652
• LCM of 204, 753, 335, 163, 835

1. What is the LCM of 331, 214, 544, 696, 275?

Answer: LCM of 331, 214, 544, 696, 275 is 460959338400.

2. How to calculate the LCM of 331, 214, 544, 696, 275?

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 331, 214, 544, 696, 275.

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}.