LCM of 231, 982, 406, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 982, 406, 203 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 231, 982, 406, 203. So, keep reading to learn more.
Given numbers are 231,982,406,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,982,406,203 is 6578418.
Find LCM of 231,982,406,203 with Prime Factorization
| 2 | 231, 982, 406, 203 |
| 7 | 231, 491, 203, 203 |
| 29 | 33, 491, 29, 29 |
| 33, 491, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 33 x 491 x 1 x 1 = 6578418
Therefore, the lowest common multiple of 231,982,406,203 is 6578418.
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.
231 x 982 x 406 x 203 = 18695863956
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
982 : 1, 2, 491, 982
406 : 1, 2, 7, 14, 29, 58, 203, 406
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,982,406,203, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
982:2x 491
406:2x 7x 29
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 29 = 2842
Therefore, the value for common factors is 2842.
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 = 18695863956/(1x2842)
LCM = 18695863956/2842
LCM = 6578418
Thus, we can understand that the LCM of 231,982,406,203 is 6578418.
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FAQs on LCM of 231, 982, 406, 203
1. What is the LCM of 231, 982, 406, 203?
Answer: LCM of 231, 982, 406, 203 is 6578418.
2. How to calculate the LCM of 231, 982, 406, 203?
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 231, 982, 406, 203.
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}.