LCM of 824, 824, 516, 995, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 824, 516, 995, 404 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, 824, 516, 995, 404. So, keep reading to learn more.
Given numbers are 824,824,516,995,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,824,516,995,404 is 10682216520.
Find LCM of 824,824,516,995,404 with Prime Factorization
| 2 | 824, 824, 516, 995, 404 |
| 2 | 412, 412, 258, 995, 202 |
| 2 | 206, 206, 129, 995, 101 |
| 103 | 103, 103, 129, 995, 101 |
| 1, 1, 129, 995, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 103 x 1 x 1 x 129 x 995 x 101 = 10682216520
Therefore, the lowest common multiple of 824,824,516,995,404 is 10682216520.
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 824 x 516 x 995 x 404 = 140834342599680
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
995 : 1, 5, 199, 995
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,824,516,995,404, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
824:2x 2x 2x 103
516:2x 2x 3x 43
995:5x 199
404:2x 2x 101
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 103 = 13184
Therefore, the value for common factors is 13184.
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 = 140834342599680/(1x13184)
LCM = 140834342599680/13184
LCM = 10682216520
Thus, we can understand that the LCM of 824,824,516,995,404 is 10682216520.
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FAQs on LCM of 824, 824, 516, 995, 404
1. What is the LCM of 824, 824, 516, 995, 404?
Answer: LCM of 824, 824, 516, 995, 404 is 10682216520.
2. How to calculate the LCM of 824, 824, 516, 995, 404?
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, 824, 516, 995, 404.
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}.