Find the LCM of 229, 221, 867, 127, 313 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 229, 221, 867, 127, 313. So, keep reading to learn more.
Given numbers are 229,221,867,127,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,221,867,127,313 is 102599676309.
Find LCM of 229,221,867,127,313 with Prime Factorization
17 | 229, 221, 867, 127, 313 |
229, 13, 51, 127, 313 |
Multiply the prime numbers at the bottom and the left side.
17 x 229 x 13 x 51 x 127 x 313 = 102599676309
Therefore, the lowest common multiple of 229,221,867,127,313 is 102599676309.
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.
229 x 221 x 867 x 127 x 313 = 1744194497253
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.
229 : 1, 229
221 : 1, 13, 17, 221
867 : 1, 3, 17, 51, 289, 867
127 : 1, 127
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,221,867,127,313, is 1.
Now, the common factors can be found like this.
229:229
221:13x 17
867:3x 17x 17
127:127
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 1744194497253/(1x17)
LCM = 1744194497253/17
LCM = 102599676309
Thus, we can understand that the LCM of 229,221,867,127,313 is 102599676309.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 221, 867, 127, 313?
Answer: LCM of 229, 221, 867, 127, 313 is 102599676309.
2. How to calculate the LCM of 229, 221, 867, 127, 313?
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 229, 221, 867, 127, 313.
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}.