Find the LCM of 167, 587, 351, 481, 241 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 167, 587, 351, 481, 241. So, keep reading to learn more.
Given numbers are 167,587,351,481,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,587,351,481,241 is 306817732143.
Find LCM of 167,587,351,481,241 with Prime Factorization
13 | 167, 587, 351, 481, 241 |
167, 587, 27, 37, 241 |
Multiply the prime numbers at the bottom and the left side.
13 x 167 x 587 x 27 x 37 x 241 = 306817732143
Therefore, the lowest common multiple of 167,587,351,481,241 is 306817732143.
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.
167 x 587 x 351 x 481 x 241 = 3988630517859
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.
167 : 1, 167
587 : 1, 587
351 : 1, 3, 9, 13, 27, 39, 117, 351
481 : 1, 13, 37, 481
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,587,351,481,241, is 1.
Now, the common factors can be found like this.
167:167
587:587
351:3x 3x 3x 13
481:13x 37
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 3988630517859/(1x13)
LCM = 3988630517859/13
LCM = 306817732143
Thus, we can understand that the LCM of 167,587,351,481,241 is 306817732143.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 587, 351, 481, 241?
Answer: LCM of 167, 587, 351, 481, 241 is 306817732143.
2. How to calculate the LCM of 167, 587, 351, 481, 241?
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 167, 587, 351, 481, 241.
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}.