LCM of 996, 830, 481, 378, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 830, 481, 378, 135 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 996, 830, 481, 378, 135. So, keep reading to learn more.
Given numbers are 996,830,481,378,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,830,481,378,135 is 150908940.
Find LCM of 996,830,481,378,135 with Prime Factorization
| 2 | 996, 830, 481, 378, 135 |
| 3 | 498, 415, 481, 189, 135 |
| 3 | 166, 415, 481, 63, 45 |
| 3 | 166, 415, 481, 21, 15 |
| 5 | 166, 415, 481, 7, 5 |
| 83 | 166, 83, 481, 7, 1 |
| 2, 1, 481, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 83 x 2 x 1 x 481 x 7 x 1 = 150908940
Therefore, the lowest common multiple of 996,830,481,378,135 is 150908940.
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.
996 x 830 x 481 x 378 x 135 = 20291216072400
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
830 : 1, 2, 5, 10, 83, 166, 415, 830
481 : 1, 13, 37, 481
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,830,481,378,135, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
830:2x 5x 83
481:13x 37
378:2x 3x 3x 3x 7
135:3x 3x 3x 5
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 3x 3x 3x 3x 5x 83 = 134460
Therefore, the value for common factors is 134460.
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 = 20291216072400/(1x134460)
LCM = 20291216072400/134460
LCM = 150908940
Thus, we can understand that the LCM of 996,830,481,378,135 is 150908940.
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FAQs on LCM of 996, 830, 481, 378, 135
1. What is the LCM of 996, 830, 481, 378, 135?
Answer: LCM of 996, 830, 481, 378, 135 is 150908940.
2. How to calculate the LCM of 996, 830, 481, 378, 135?
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 996, 830, 481, 378, 135.
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}.