LCM of 538, 378, 418, 802, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 378, 418, 802, 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 538, 378, 418, 802, 165. So, keep reading to learn more.
Given numbers are 538,378,418,802,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,378,418,802,165 is 42609333690.
Find LCM of 538,378,418,802,165 with Prime Factorization
| 2 | 538, 378, 418, 802, 165 |
| 3 | 269, 189, 209, 401, 165 |
| 11 | 269, 63, 209, 401, 55 |
| 269, 63, 19, 401, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 269 x 63 x 19 x 401 x 5 = 42609333690
Therefore, the lowest common multiple of 538,378,418,802,165 is 42609333690.
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.
538 x 378 x 418 x 802 x 165 = 11248864094160
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.
538 : 1, 2, 269, 538
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
418 : 1, 2, 11, 19, 22, 38, 209, 418
802 : 1, 2, 401, 802
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 538,378,418,802,165, is 1.
Now, the common factors can be found like this.
538:2x 269
378:2x 3x 3x 3x 7
418:2x 11x 19
802:2x 401
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 11248864094160/(1x264)
LCM = 11248864094160/264
LCM = 42609333690
Thus, we can understand that the LCM of 538,378,418,802,165 is 42609333690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 538, 378, 418, 802, 165
1. What is the LCM of 538, 378, 418, 802, 165?
Answer: LCM of 538, 378, 418, 802, 165 is 42609333690.
2. How to calculate the LCM of 538, 378, 418, 802, 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 538, 378, 418, 802, 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}.