LCM of 824, 243, 687, 819, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 243, 687, 819, 314 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 824, 243, 687, 819, 314. So, keep reading to learn more.
Given numbers are 824,243,687,819,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,243,687,819,314 is 655103639736.
Find LCM of 824,243,687,819,314 with Prime Factorization
| 2 | 824, 243, 687, 819, 314 |
| 3 | 412, 243, 687, 819, 157 |
| 3 | 412, 81, 229, 273, 157 |
| 412, 27, 229, 91, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 412 x 27 x 229 x 91 x 157 = 655103639736
Therefore, the lowest common multiple of 824,243,687,819,314 is 655103639736.
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.
824 x 243 x 687 x 819 x 314 = 35375596545744
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
243 : 1, 3, 9, 27, 81, 243
687 : 1, 3, 229, 687
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,243,687,819,314, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
243:3x 3x 3x 3x 3
687:3x 229
819:3x 3x 7x 13
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 35375596545744/(1x54)
LCM = 35375596545744/54
LCM = 655103639736
Thus, we can understand that the LCM of 824,243,687,819,314 is 655103639736.
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FAQs on LCM of 824, 243, 687, 819, 314
1. What is the LCM of 824, 243, 687, 819, 314?
Answer: LCM of 824, 243, 687, 819, 314 is 655103639736.
2. How to calculate the LCM of 824, 243, 687, 819, 314?
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 824, 243, 687, 819, 314.
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}.