Find the LCM of 561, 799, 221, 203 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 561, 799, 221, 203. So, keep reading to learn more.
Given numbers are 561,799,221,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,799,221,203 is 69582513.
Find LCM of 561,799,221,203 with Prime Factorization
17 | 561, 799, 221, 203 |
33, 47, 13, 203 |
Multiply the prime numbers at the bottom and the left side.
17 x 33 x 47 x 13 x 203 = 69582513
Therefore, the lowest common multiple of 561,799,221,203 is 69582513.
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.
561 x 799 x 221 x 203 = 20109346257
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
799 : 1, 17, 47, 799
221 : 1, 13, 17, 221
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,799,221,203, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
799:17x 47
221:13x 17
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 20109346257/(1x289)
LCM = 20109346257/289
LCM = 69582513
Thus, we can understand that the LCM of 561,799,221,203 is 69582513.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 799, 221, 203?
Answer: LCM of 561, 799, 221, 203 is 69582513.
2. How to calculate the LCM of 561, 799, 221, 203?
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 561, 799, 221, 203.
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}.