LCM of 824, 576, 631, 804, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 576, 631, 804, 880 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 824, 576, 631, 804, 880. So, keep reading to learn more.
Given numbers are 824,576,631,804,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,576,631,804,880 is 137951542080.
Find LCM of 824,576,631,804,880 with Prime Factorization
| 2 | 824, 576, 631, 804, 880 |
| 2 | 412, 288, 631, 402, 440 |
| 2 | 206, 144, 631, 201, 220 |
| 2 | 103, 72, 631, 201, 110 |
| 3 | 103, 36, 631, 201, 55 |
| 103, 12, 631, 67, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 103 x 12 x 631 x 67 x 55 = 137951542080
Therefore, the lowest common multiple of 824,576,631,804,880 is 137951542080.
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.
824 x 576 x 631 x 804 x 880 = 211893568634880
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
631 : 1, 631
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,576,631,804,880, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
576:2x 2x 2x 2x 2x 2x 3x 3
631:631
804:2x 2x 3x 67
880:2x 2x 2x 2x 5x 11
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 2x 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 211893568634880/(1x1536)
LCM = 211893568634880/1536
LCM = 137951542080
Thus, we can understand that the LCM of 824,576,631,804,880 is 137951542080.
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FAQs on LCM of 824, 576, 631, 804, 880
1. What is the LCM of 824, 576, 631, 804, 880?
Answer: LCM of 824, 576, 631, 804, 880 is 137951542080.
2. How to calculate the LCM of 824, 576, 631, 804, 880?
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 824, 576, 631, 804, 880.
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}.