LCM of 896, 727, 388, 868, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 727, 388, 868, 486 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 896, 727, 388, 868, 486. So, keep reading to learn more.
Given numbers are 896,727,388,868,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,727,388,868,486 is 475972785792.
Find LCM of 896,727,388,868,486 with Prime Factorization
| 2 | 896, 727, 388, 868, 486 |
| 2 | 448, 727, 194, 434, 243 |
| 7 | 224, 727, 97, 217, 243 |
| 32, 727, 97, 31, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 32 x 727 x 97 x 31 x 243 = 475972785792
Therefore, the lowest common multiple of 896,727,388,868,486 is 475972785792.
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.
896 x 727 x 388 x 868 x 486 = 106617904017408
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
727 : 1, 727
388 : 1, 2, 4, 97, 194, 388
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,727,388,868,486, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
727:727
388:2x 2x 97
868:2x 2x 7x 31
486:2x 3x 3x 3x 3x 3
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 106617904017408/(1x224)
LCM = 106617904017408/224
LCM = 475972785792
Thus, we can understand that the LCM of 896,727,388,868,486 is 475972785792.
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FAQs on LCM of 896, 727, 388, 868, 486
1. What is the LCM of 896, 727, 388, 868, 486?
Answer: LCM of 896, 727, 388, 868, 486 is 475972785792.
2. How to calculate the LCM of 896, 727, 388, 868, 486?
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 896, 727, 388, 868, 486.
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}.