LCM of 204, 411, 517, 748, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 411, 517, 748, 910 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 204, 411, 517, 748, 910. So, keep reading to learn more.
Given numbers are 204,411,517,748,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,411,517,748,910 is 6574347780.
Find LCM of 204,411,517,748,910 with Prime Factorization
| 2 | 204, 411, 517, 748, 910 |
| 2 | 102, 411, 517, 374, 455 |
| 3 | 51, 411, 517, 187, 455 |
| 11 | 17, 137, 517, 187, 455 |
| 17 | 17, 137, 47, 17, 455 |
| 1, 137, 47, 1, 455 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 1 x 137 x 47 x 1 x 455 = 6574347780
Therefore, the lowest common multiple of 204,411,517,748,910 is 6574347780.
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.
204 x 411 x 517 x 748 x 910 = 29505672836640
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
411 : 1, 3, 137, 411
517 : 1, 11, 47, 517
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,411,517,748,910, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
411:3x 137
517:11x 47
748:2x 2x 11x 17
910:2x 5x 7x 13
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 29505672836640/(1x4488)
LCM = 29505672836640/4488
LCM = 6574347780
Thus, we can understand that the LCM of 204,411,517,748,910 is 6574347780.
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FAQs on LCM of 204, 411, 517, 748, 910
1. What is the LCM of 204, 411, 517, 748, 910?
Answer: LCM of 204, 411, 517, 748, 910 is 6574347780.
2. How to calculate the LCM of 204, 411, 517, 748, 910?
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 204, 411, 517, 748, 910.
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}.