LCM of 547, 416, 799, 696, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 416, 799, 696, 102 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 547, 416, 799, 696, 102. So, keep reading to learn more.
Given numbers are 547,416,799,696,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,416,799,696,102 is 15817822176.
Find LCM of 547,416,799,696,102 with Prime Factorization
| 2 | 547, 416, 799, 696, 102 |
| 2 | 547, 208, 799, 348, 51 |
| 2 | 547, 104, 799, 174, 51 |
| 3 | 547, 52, 799, 87, 51 |
| 17 | 547, 52, 799, 29, 17 |
| 547, 52, 47, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 547 x 52 x 47 x 29 x 1 = 15817822176
Therefore, the lowest common multiple of 547,416,799,696,102 is 15817822176.
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.
547 x 416 x 799 x 696 x 102 = 12907342895616
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.
547 : 1, 547
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
799 : 1, 17, 47, 799
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,416,799,696,102, is 1.
Now, the common factors can be found like this.
547:547
416:2x 2x 2x 2x 2x 13
799:17x 47
696:2x 2x 2x 3x 29
102:2x 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 2x 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 12907342895616/(1x816)
LCM = 12907342895616/816
LCM = 15817822176
Thus, we can understand that the LCM of 547,416,799,696,102 is 15817822176.
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FAQs on LCM of 547, 416, 799, 696, 102
1. What is the LCM of 547, 416, 799, 696, 102?
Answer: LCM of 547, 416, 799, 696, 102 is 15817822176.
2. How to calculate the LCM of 547, 416, 799, 696, 102?
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 547, 416, 799, 696, 102.
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}.