Given numbers are 344,546,324,871,533

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

The LCM of 344,546,324,871,533 is 6965359128.

Find LCM of 344,546,324,871,533 with Prime Factorization

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

2 x 2 x 3 x 13 x 86 x 7 x 27 x 67 x 41 = 6965359128

Therefore, the lowest common multiple of 344,546,324,871,533 is 6965359128.

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.

344 x 546 x 324 x 871 x 533 = 28251496623168

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

871 : 1, 13, 67, 871

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,546,324,871,533, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

546:2x 3x 7x 13

324:2x 2x 3x 3x 3x 3

871:13x 67

533:13x 41

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 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 28251496623168/(1x4056)

LCM = 28251496623168/4056

LCM = 6965359128

Thus, we can understand that the LCM of 344,546,324,871,533 is 6965359128.

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

• LCM of 987, 320, 998, 114, 451
• LCM of 343, 357, 937, 394, 441
• LCM of 638, 477, 450, 542, 978
• LCM of 822, 463, 472, 974, 219
• LCM of 401, 293, 417, 190, 295

1. What is the LCM of 344, 546, 324, 871, 533?

Answer: LCM of 344, 546, 324, 871, 533 is 6965359128.

2. How to calculate the LCM of 344, 546, 324, 871, 533?

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 344, 546, 324, 871, 533.

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}.