Find the LCM of 261, 221, 301, 338, 445 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 261, 221, 301, 338, 445. So, keep reading to learn more.
Given numbers are 261,221,301,338,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,221,301,338,445 is 200878120170.
Find LCM of 261,221,301,338,445 with Prime Factorization
13 | 261, 221, 301, 338, 445 |
261, 17, 301, 26, 445 |
Multiply the prime numbers at the bottom and the left side.
13 x 261 x 17 x 301 x 26 x 445 = 200878120170
Therefore, the lowest common multiple of 261,221,301,338,445 is 200878120170.
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.
261 x 221 x 301 x 338 x 445 = 2611415562210
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.
261 : 1, 3, 9, 29, 87, 261
221 : 1, 13, 17, 221
301 : 1, 7, 43, 301
338 : 1, 2, 13, 26, 169, 338
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,221,301,338,445, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
221:13x 17
301:7x 43
338:2x 13x 13
445:5x 89
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 = 2611415562210/(1x13)
LCM = 2611415562210/13
LCM = 200878120170
Thus, we can understand that the LCM of 261,221,301,338,445 is 200878120170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 261, 221, 301, 338, 445?
Answer: LCM of 261, 221, 301, 338, 445 is 200878120170.
2. How to calculate the LCM of 261, 221, 301, 338, 445?
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 261, 221, 301, 338, 445.
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}.