Given numbers are 114,323,343,437

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

The LCM of 114,323,343,437 is 15288882.

Find LCM of 114,323,343,437 with Prime Factorization

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

19 x 6 x 17 x 343 x 23 = 15288882

Therefore, the lowest common multiple of 114,323,343,437 is 15288882.

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.

114 x 323 x 343 x 437 = 5519286402

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

323 : 1, 17, 19, 323

343 : 1, 7, 49, 343

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,323,343,437, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

323:17x 19

343:7x 7x 7

437:19x 23

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 5519286402/(1x361)

LCM = 5519286402/361

LCM = 15288882

Thus, we can understand that the LCM of 114,323,343,437 is 15288882.

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

• LCM of 954, 445, 679, 455
• LCM of 483, 749, 436, 229
• LCM of 139, 106, 268, 619
• LCM of 829, 700, 654, 515
• LCM of 531, 981, 262, 360

1. What is the LCM of 114, 323, 343, 437?

Answer: LCM of 114, 323, 343, 437 is 15288882.

2. How to calculate the LCM of 114, 323, 343, 437?

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 114, 323, 343, 437.

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}.