LCM of 437, 693, 869, 969, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 693, 869, 969, 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 437, 693, 869, 969, 696. So, keep reading to learn more.
Given numbers are 437,693,869,969,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,693,869,969,696 is 94357987416.
Find LCM of 437,693,869,969,696 with Prime Factorization
| 3 | 437, 693, 869, 969, 696 |
| 11 | 437, 231, 869, 323, 232 |
| 19 | 437, 21, 79, 323, 232 |
| 23, 21, 79, 17, 232 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 23 x 21 x 79 x 17 x 232 = 94357987416
Therefore, the lowest common multiple of 437,693,869,969,696 is 94357987416.
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.
437 x 693 x 869 x 969 x 696 = 177487374329496
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.
437 : 1, 19, 23, 437
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
869 : 1, 11, 79, 869
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 437,693,869,969,696, is 1.
Now, the common factors can be found like this.
437:19x 23
693:3x 3x 7x 11
869:11x 79
969:3x 17x 19
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.
3x 3x 11x 19 = 1881
Therefore, the value for common factors is 1881.
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 = 177487374329496/(1x1881)
LCM = 177487374329496/1881
LCM = 94357987416
Thus, we can understand that the LCM of 437,693,869,969,696 is 94357987416.
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FAQs on LCM of 437, 693, 869, 969, 696
1. What is the LCM of 437, 693, 869, 969, 696?
Answer: LCM of 437, 693, 869, 969, 696 is 94357987416.
2. How to calculate the LCM of 437, 693, 869, 969, 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 437, 693, 869, 969, 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}.