LCM of 724, 798, 622, 990, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 798, 622, 990, 824 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 724, 798, 622, 990, 824. So, keep reading to learn more.
Given numbers are 724,798,622,990,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,798,622,990,824 is 3053676419640.
Find LCM of 724,798,622,990,824 with Prime Factorization
| 2 | 724, 798, 622, 990, 824 |
| 2 | 362, 399, 311, 495, 412 |
| 3 | 181, 399, 311, 495, 206 |
| 181, 133, 311, 165, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 133 x 311 x 165 x 206 = 3053676419640
Therefore, the lowest common multiple of 724,798,622,990,824 is 3053676419640.
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.
724 x 798 x 622 x 990 x 824 = 293152936285440
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.
724 : 1, 2, 4, 181, 362, 724
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
622 : 1, 2, 311, 622
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,798,622,990,824, is 2.
Now, the common factors can be found like this.
724:2x 2x 181
798:2x 3x 7x 19
622:2x 311
990:2x 3x 3x 5x 11
824:2x 2x 2x 103
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 3 = 48
Therefore, the value for common factors is 48.
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 = 293152936285440/(2x48)
LCM = 293152936285440/96
LCM = 3053676419640
Thus, we can understand that the LCM of 724,798,622,990,824 is 3053676419640.
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FAQs on LCM of 724, 798, 622, 990, 824
1. What is the LCM of 724, 798, 622, 990, 824?
Answer: LCM of 724, 798, 622, 990, 824 is 3053676419640.
2. How to calculate the LCM of 724, 798, 622, 990, 824?
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 724, 798, 622, 990, 824.
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}.