Find the LCM of 221, 729, 845, 349 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 221, 729, 845, 349. So, keep reading to learn more.
Given numbers are 221,729,845,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,729,845,349 is 3654757665.
Find LCM of 221,729,845,349 with Prime Factorization
13 | 221, 729, 845, 349 |
17, 729, 65, 349 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 729 x 65 x 349 = 3654757665
Therefore, the lowest common multiple of 221,729,845,349 is 3654757665.
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.
221 x 729 x 845 x 349 = 47511849645
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.
221 : 1, 13, 17, 221
729 : 1, 3, 9, 27, 81, 243, 729
845 : 1, 5, 13, 65, 169, 845
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,729,845,349, is 1.
Now, the common factors can be found like this.
221:13x 17
729:3x 3x 3x 3x 3x 3
845:5x 13x 13
349:349
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 = 47511849645/(1x13)
LCM = 47511849645/13
LCM = 3654757665
Thus, we can understand that the LCM of 221,729,845,349 is 3654757665.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 729, 845, 349?
Answer: LCM of 221, 729, 845, 349 is 3654757665.
2. How to calculate the LCM of 221, 729, 845, 349?
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 221, 729, 845, 349.
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}.