LCM of 825, 741, 993, 467, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 741, 993, 467, 949 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 825, 741, 993, 467, 949. So, keep reading to learn more.
Given numbers are 825,741,993,467,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,741,993,467,949 is 2299421756775.
Find LCM of 825,741,993,467,949 with Prime Factorization
| 3 | 825, 741, 993, 467, 949 |
| 13 | 275, 247, 331, 467, 949 |
| 275, 19, 331, 467, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 275 x 19 x 331 x 467 x 73 = 2299421756775
Therefore, the lowest common multiple of 825,741,993,467,949 is 2299421756775.
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.
825 x 741 x 993 x 467 x 949 = 269032345542675
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
741 : 1, 3, 13, 19, 39, 57, 247, 741
993 : 1, 3, 331, 993
467 : 1, 467
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,741,993,467,949, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
741:3x 13x 19
993:3x 331
467:467
949:13x 73
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 13 = 117
Therefore, the value for common factors is 117.
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 = 269032345542675/(1x117)
LCM = 269032345542675/117
LCM = 2299421756775
Thus, we can understand that the LCM of 825,741,993,467,949 is 2299421756775.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 741, 993, 467, 949
1. What is the LCM of 825, 741, 993, 467, 949?
Answer: LCM of 825, 741, 993, 467, 949 is 2299421756775.
2. How to calculate the LCM of 825, 741, 993, 467, 949?
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 825, 741, 993, 467, 949.
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}.