LCM of 824, 896, 870, 721, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 896, 870, 721, 415 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, 896, 870, 721, 415. So, keep reading to learn more.
Given numbers are 824,896,870,721,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,896,870,721,415 is 3332058240.
Find LCM of 824,896,870,721,415 with Prime Factorization
| 2 | 824, 896, 870, 721, 415 |
| 2 | 412, 448, 435, 721, 415 |
| 2 | 206, 224, 435, 721, 415 |
| 5 | 103, 112, 435, 721, 415 |
| 7 | 103, 112, 87, 721, 83 |
| 103 | 103, 16, 87, 103, 83 |
| 1, 16, 87, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 103 x 1 x 16 x 87 x 1 x 83 = 3332058240
Therefore, the lowest common multiple of 824,896,870,721,415 is 3332058240.
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 896 x 870 x 721 x 415 = 192193119283200
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
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
721 : 1, 7, 103, 721
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,896,870,721,415, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
896:2x 2x 2x 2x 2x 2x 2x 7
870:2x 3x 5x 29
721:7x 103
415:5x 83
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 5x 7x 103 = 57680
Therefore, the value for common factors is 57680.
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 = 192193119283200/(1x57680)
LCM = 192193119283200/57680
LCM = 3332058240
Thus, we can understand that the LCM of 824,896,870,721,415 is 3332058240.
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FAQs on LCM of 824, 896, 870, 721, 415
1. What is the LCM of 824, 896, 870, 721, 415?
Answer: LCM of 824, 896, 870, 721, 415 is 3332058240.
2. How to calculate the LCM of 824, 896, 870, 721, 415?
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, 896, 870, 721, 415.
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}.