LCM of 330, 109, 252, 378, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 109, 252, 378, 696 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 330, 109, 252, 378, 696. So, keep reading to learn more.
Given numbers are 330,109,252,378,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,109,252,378,696 is 262868760.
Find LCM of 330,109,252,378,696 with Prime Factorization
| 2 | 330, 109, 252, 378, 696 |
| 2 | 165, 109, 126, 189, 348 |
| 3 | 165, 109, 63, 189, 174 |
| 3 | 55, 109, 21, 63, 58 |
| 7 | 55, 109, 7, 21, 58 |
| 55, 109, 1, 3, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 55 x 109 x 1 x 3 x 58 = 262868760
Therefore, the lowest common multiple of 330,109,252,378,696 is 262868760.
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.
330 x 109 x 252 x 378 x 696 = 2384745390720
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
109 : 1, 109
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,109,252,378,696, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
109:109
252:2x 2x 3x 3x 7
378:2x 3x 3x 3x 7
696:2x 2x 2x 3x 29
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 3x 3x 3x 7 = 9072
Therefore, the value for common factors is 9072.
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 = 2384745390720/(1x9072)
LCM = 2384745390720/9072
LCM = 262868760
Thus, we can understand that the LCM of 330,109,252,378,696 is 262868760.
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FAQs on LCM of 330, 109, 252, 378, 696
1. What is the LCM of 330, 109, 252, 378, 696?
Answer: LCM of 330, 109, 252, 378, 696 is 262868760.
2. How to calculate the LCM of 330, 109, 252, 378, 696?
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 330, 109, 252, 378, 696.
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}.