LCM of 819, 752, 508, 884, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 752, 508, 884, 424 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 819, 752, 508, 884, 424. So, keep reading to learn more.
Given numbers are 819,752,508,884,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,752,508,884,424 is 70474216176.
Find LCM of 819,752,508,884,424 with Prime Factorization
| 2 | 819, 752, 508, 884, 424 |
| 2 | 819, 376, 254, 442, 212 |
| 2 | 819, 188, 127, 221, 106 |
| 13 | 819, 94, 127, 221, 53 |
| 63, 94, 127, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 63 x 94 x 127 x 17 x 53 = 70474216176
Therefore, the lowest common multiple of 819,752,508,884,424 is 70474216176.
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.
819 x 752 x 508 x 884 x 424 = 117269095716864
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
508 : 1, 2, 4, 127, 254, 508
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,752,508,884,424, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
752:2x 2x 2x 2x 47
508:2x 2x 127
884:2x 2x 13x 17
424:2x 2x 2x 53
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 13 = 1664
Therefore, the value for common factors is 1664.
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 = 117269095716864/(1x1664)
LCM = 117269095716864/1664
LCM = 70474216176
Thus, we can understand that the LCM of 819,752,508,884,424 is 70474216176.
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FAQs on LCM of 819, 752, 508, 884, 424
1. What is the LCM of 819, 752, 508, 884, 424?
Answer: LCM of 819, 752, 508, 884, 424 is 70474216176.
2. How to calculate the LCM of 819, 752, 508, 884, 424?
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 819, 752, 508, 884, 424.
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}.