Given numbers are 546,135,543,181,829

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

The LCM of 546,135,543,181,829 is 3686703930.

Find LCM of 546,135,543,181,829 with Prime Factorization

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

3 x 181 x 182 x 45 x 1 x 1 x 829 = 3686703930

Therefore, the lowest common multiple of 546,135,543,181,829 is 3686703930.

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.

546 x 135 x 543 x 181 x 829 = 6005640701970

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.

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

543 : 1, 3, 181, 543

181 : 1, 181

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,135,543,181,829, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

135:3x 3x 3x 5

543:3x 181

181:181

829:829

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

3x 3x 181 = 1629

Therefore, the value for common factors is 1629.

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 = 6005640701970/(1x1629)

LCM = 6005640701970/1629

LCM = 3686703930

Thus, we can understand that the LCM of 546,135,543,181,829 is 3686703930.

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

• LCM of 418, 675, 913, 155, 547
• LCM of 664, 319, 729, 914, 571
• LCM of 595, 804, 146, 311, 168
• LCM of 639, 337, 915, 425, 248
• LCM of 703, 213, 894, 953, 686

1. What is the LCM of 546, 135, 543, 181, 829?

Answer: LCM of 546, 135, 543, 181, 829 is 3686703930.

2. How to calculate the LCM of 546, 135, 543, 181, 829?

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 546, 135, 543, 181, 829.

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}.