LCM of 182, 228, 684, 431, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 228, 684, 431, 898 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 182, 228, 684, 431, 898. So, keep reading to learn more.
Given numbers are 182,228,684,431,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,228,684,431,898 is 12045396636.
Find LCM of 182,228,684,431,898 with Prime Factorization
| 2 | 182, 228, 684, 431, 898 |
| 2 | 91, 114, 342, 431, 449 |
| 3 | 91, 57, 171, 431, 449 |
| 19 | 91, 19, 57, 431, 449 |
| 91, 1, 3, 431, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 91 x 1 x 3 x 431 x 449 = 12045396636
Therefore, the lowest common multiple of 182,228,684,431,898 is 12045396636.
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.
182 x 228 x 684 x 431 x 898 = 10985401732032
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
431 : 1, 431
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,228,684,431,898, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
228:2x 2x 3x 19
684:2x 2x 3x 3x 19
431:431
898:2x 449
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 2x 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 10985401732032/(1x912)
LCM = 10985401732032/912
LCM = 12045396636
Thus, we can understand that the LCM of 182,228,684,431,898 is 12045396636.
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FAQs on LCM of 182, 228, 684, 431, 898
1. What is the LCM of 182, 228, 684, 431, 898?
Answer: LCM of 182, 228, 684, 431, 898 is 12045396636.
2. How to calculate the LCM of 182, 228, 684, 431, 898?
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 182, 228, 684, 431, 898.
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}.