LCM of 188, 676, 416, 336, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 676, 416, 336, 165 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 188, 676, 416, 336, 165. So, keep reading to learn more.
Given numbers are 188,676,416,336,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,676,416,336,165 is 293573280.
Find LCM of 188,676,416,336,165 with Prime Factorization
| 2 | 188, 676, 416, 336, 165 |
| 2 | 94, 338, 208, 168, 165 |
| 2 | 47, 169, 104, 84, 165 |
| 2 | 47, 169, 52, 42, 165 |
| 3 | 47, 169, 26, 21, 165 |
| 13 | 47, 169, 26, 7, 55 |
| 47, 13, 2, 7, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 47 x 13 x 2 x 7 x 55 = 293573280
Therefore, the lowest common multiple of 188,676,416,336,165 is 293573280.
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.
188 x 676 x 416 x 336 x 165 = 2931035627520
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.
188 : 1, 2, 4, 47, 94, 188
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,676,416,336,165, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
676:2x 2x 13x 13
416:2x 2x 2x 2x 2x 13
336:2x 2x 2x 2x 3x 7
165:3x 5x 11
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 2x 3x 13 = 9984
Therefore, the value for common factors is 9984.
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 = 2931035627520/(1x9984)
LCM = 2931035627520/9984
LCM = 293573280
Thus, we can understand that the LCM of 188,676,416,336,165 is 293573280.
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FAQs on LCM of 188, 676, 416, 336, 165
1. What is the LCM of 188, 676, 416, 336, 165?
Answer: LCM of 188, 676, 416, 336, 165 is 293573280.
2. How to calculate the LCM of 188, 676, 416, 336, 165?
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 188, 676, 416, 336, 165.
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}.