LCM of 410, 729, 783, 899, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 410, 729, 783, 899, 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 410, 729, 783, 899, 949. So, keep reading to learn more.
Given numbers are 410,729,783,899,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,729,783,899,949 is 254998302390.
Find LCM of 410,729,783,899,949 with Prime Factorization
| 3 | 410, 729, 783, 899, 949 |
| 3 | 410, 243, 261, 899, 949 |
| 3 | 410, 81, 87, 899, 949 |
| 29 | 410, 27, 29, 899, 949 |
| 410, 27, 1, 31, 949 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 29 x 410 x 27 x 1 x 31 x 949 = 254998302390
Therefore, the lowest common multiple of 410,729,783,899,949 is 254998302390.
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.
410 x 729 x 783 x 899 x 949 = 199663670771370
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
729 : 1, 3, 9, 27, 81, 243, 729
783 : 1, 3, 9, 27, 29, 87, 261, 783
899 : 1, 29, 31, 899
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,729,783,899,949, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
729:3x 3x 3x 3x 3x 3
783:3x 3x 3x 29
899:29x 31
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 3x 29 = 783
Therefore, the value for common factors is 783.
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 = 199663670771370/(1x783)
LCM = 199663670771370/783
LCM = 254998302390
Thus, we can understand that the LCM of 410,729,783,899,949 is 254998302390.
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FAQs on LCM of 410, 729, 783, 899, 949
1. What is the LCM of 410, 729, 783, 899, 949?
Answer: LCM of 410, 729, 783, 899, 949 is 254998302390.
2. How to calculate the LCM of 410, 729, 783, 899, 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 410, 729, 783, 899, 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}.