Find the LCM of 172, 404, 741, 841, 246 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 172, 404, 741, 841, 246. So, keep reading to learn more.
Given numbers are 172,404,741,841,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,404,741,841,246 is 443861913612.
Find LCM of 172,404,741,841,246 with Prime Factorization
2 | 172, 404, 741, 841, 246 |
2 | 86, 202, 741, 841, 123 |
3 | 43, 101, 741, 841, 123 |
43, 101, 247, 841, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 101 x 247 x 841 x 41 = 443861913612
Therefore, the lowest common multiple of 172,404,741,841,246 is 443861913612.
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.
172 x 404 x 741 x 841 x 246 = 10652685926688
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.
172 : 1, 2, 4, 43, 86, 172
404 : 1, 2, 4, 101, 202, 404
741 : 1, 3, 13, 19, 39, 57, 247, 741
841 : 1, 29, 841
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,404,741,841,246, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
404:2x 2x 101
741:3x 13x 19
841:29x 29
246:2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 10652685926688/(1x24)
LCM = 10652685926688/24
LCM = 443861913612
Thus, we can understand that the LCM of 172,404,741,841,246 is 443861913612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 172, 404, 741, 841, 246?
Answer: LCM of 172, 404, 741, 841, 246 is 443861913612.
2. How to calculate the LCM of 172, 404, 741, 841, 246?
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 172, 404, 741, 841, 246.
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}.