LCM of 231, 802, 364, 896, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 802, 364, 896, 497 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 231, 802, 364, 896, 497. So, keep reading to learn more.
Given numbers are 231,802,364,896,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,802,364,896,497 is 10943796864.
Find LCM of 231,802,364,896,497 with Prime Factorization
| 2 | 231, 802, 364, 896, 497 |
| 2 | 231, 401, 182, 448, 497 |
| 7 | 231, 401, 91, 224, 497 |
| 33, 401, 13, 32, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 33 x 401 x 13 x 32 x 71 = 10943796864
Therefore, the lowest common multiple of 231,802,364,896,497 is 10943796864.
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.
231 x 802 x 364 x 896 x 497 = 30029778594816
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
802 : 1, 2, 401, 802
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,802,364,896,497, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
802:2x 401
364:2x 2x 7x 13
896:2x 2x 2x 2x 2x 2x 2x 7
497:7x 71
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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 30029778594816/(1x2744)
LCM = 30029778594816/2744
LCM = 10943796864
Thus, we can understand that the LCM of 231,802,364,896,497 is 10943796864.
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FAQs on LCM of 231, 802, 364, 896, 497
1. What is the LCM of 231, 802, 364, 896, 497?
Answer: LCM of 231, 802, 364, 896, 497 is 10943796864.
2. How to calculate the LCM of 231, 802, 364, 896, 497?
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 231, 802, 364, 896, 497.
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}.