LCM of 696, 405, 366, 744, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 405, 366, 744, 109 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 696, 405, 366, 744, 109. So, keep reading to learn more.
Given numbers are 696,405,366,744,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,405,366,744,109 is 19366941240.
Find LCM of 696,405,366,744,109 with Prime Factorization
| 2 | 696, 405, 366, 744, 109 |
| 2 | 348, 405, 183, 372, 109 |
| 2 | 174, 405, 183, 186, 109 |
| 3 | 87, 405, 183, 93, 109 |
| 29, 135, 61, 31, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 135 x 61 x 31 x 109 = 19366941240
Therefore, the lowest common multiple of 696,405,366,744,109 is 19366941240.
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.
696 x 405 x 366 x 744 x 109 = 8366518615680
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
366 : 1, 2, 3, 6, 61, 122, 183, 366
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,405,366,744,109, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
405:3x 3x 3x 3x 5
366:2x 3x 61
744:2x 2x 2x 3x 31
109:109
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 3 = 432
Therefore, the value for common factors is 432.
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 = 8366518615680/(1x432)
LCM = 8366518615680/432
LCM = 19366941240
Thus, we can understand that the LCM of 696,405,366,744,109 is 19366941240.
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FAQs on LCM of 696, 405, 366, 744, 109
1. What is the LCM of 696, 405, 366, 744, 109?
Answer: LCM of 696, 405, 366, 744, 109 is 19366941240.
2. How to calculate the LCM of 696, 405, 366, 744, 109?
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 696, 405, 366, 744, 109.
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}.