LCM of 933, 825, 967, 588, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 825, 967, 588, 231 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 933, 825, 967, 588, 231. So, keep reading to learn more.
Given numbers are 933,825,967,588,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,825,967,588,231 is 48629172900.
Find LCM of 933,825,967,588,231 with Prime Factorization
| 3 | 933, 825, 967, 588, 231 |
| 7 | 311, 275, 967, 196, 77 |
| 11 | 311, 275, 967, 28, 11 |
| 311, 25, 967, 28, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 311 x 25 x 967 x 28 x 1 = 48629172900
Therefore, the lowest common multiple of 933,825,967,588,231 is 48629172900.
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.
933 x 825 x 967 x 588 x 231 = 101100050459100
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.
933 : 1, 3, 311, 933
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
967 : 1, 967
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,825,967,588,231, is 1.
Now, the common factors can be found like this.
933:3x 311
825:3x 5x 5x 11
967:967
588:2x 2x 3x 7x 7
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 11 = 2079
Therefore, the value for common factors is 2079.
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 = 101100050459100/(1x2079)
LCM = 101100050459100/2079
LCM = 48629172900
Thus, we can understand that the LCM of 933,825,967,588,231 is 48629172900.
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FAQs on LCM of 933, 825, 967, 588, 231
1. What is the LCM of 933, 825, 967, 588, 231?
Answer: LCM of 933, 825, 967, 588, 231 is 48629172900.
2. How to calculate the LCM of 933, 825, 967, 588, 231?
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 933, 825, 967, 588, 231.
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}.