LCM of 696, 541, 819, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 541, 819, 816 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 696, 541, 819, 816. So, keep reading to learn more.
Given numbers are 696,541,819,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,541,819,816 is 3495007152.
Find LCM of 696,541,819,816 with Prime Factorization
| 2 | 696, 541, 819, 816 |
| 2 | 348, 541, 819, 408 |
| 2 | 174, 541, 819, 204 |
| 3 | 87, 541, 819, 102 |
| 29, 541, 273, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 541 x 273 x 34 = 3495007152
Therefore, the lowest common multiple of 696,541,819,816 is 3495007152.
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.
696 x 541 x 819 x 816 = 251640514944
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
541 : 1, 541
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,541,819,816, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
541:541
819:3x 3x 7x 13
816:2x 2x 2x 2x 3x 17
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 251640514944/(1x72)
LCM = 251640514944/72
LCM = 3495007152
Thus, we can understand that the LCM of 696,541,819,816 is 3495007152.
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FAQs on LCM of 696, 541, 819, 816
1. What is the LCM of 696, 541, 819, 816?
Answer: LCM of 696, 541, 819, 816 is 3495007152.
2. How to calculate the LCM of 696, 541, 819, 816?
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 696, 541, 819, 816.
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}.