Find the LCM of 543, 181, 361, 821 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 543, 181, 361, 821. So, keep reading to learn more.
Given numbers are 543,181,361,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,181,361,821 is 160934883.
Find LCM of 543,181,361,821 with Prime Factorization
181 | 543, 181, 361, 821 |
3, 1, 361, 821 |
Multiply the prime numbers at the bottom and the left side.
181 x 3 x 1 x 361 x 821 = 160934883
Therefore, the lowest common multiple of 543,181,361,821 is 160934883.
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.
543 x 181 x 361 x 821 = 29129213823
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.
543 : 1, 3, 181, 543
181 : 1, 181
361 : 1, 19, 361
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,181,361,821, is 1.
Now, the common factors can be found like this.
543:3x 181
181:181
361:19x 19
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
181 = 181
Therefore, the value for common factors is 181.
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 = 29129213823/(1x181)
LCM = 29129213823/181
LCM = 160934883
Thus, we can understand that the LCM of 543,181,361,821 is 160934883.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 181, 361, 821?
Answer: LCM of 543, 181, 361, 821 is 160934883.
2. How to calculate the LCM of 543, 181, 361, 821?
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 543, 181, 361, 821.
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}.