LCM of 286, 952, 128, 896, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 952, 128, 896, 868 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 286, 952, 128, 896, 868. So, keep reading to learn more.
Given numbers are 286,952,128,896,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,952,128,896,868 is 67523456.
Find LCM of 286,952,128,896,868 with Prime Factorization
| 2 | 286, 952, 128, 896, 868 |
| 2 | 143, 476, 64, 448, 434 |
| 2 | 143, 238, 32, 224, 217 |
| 2 | 143, 119, 16, 112, 217 |
| 2 | 143, 119, 8, 56, 217 |
| 2 | 143, 119, 4, 28, 217 |
| 2 | 143, 119, 2, 14, 217 |
| 7 | 143, 119, 1, 7, 217 |
| 143, 17, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 143 x 17 x 1 x 1 x 31 = 67523456
Therefore, the lowest common multiple of 286,952,128,896,868 is 67523456.
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.
286 x 952 x 128 x 896 x 868 = 27104455426048
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
128 : 1, 2, 4, 8, 16, 32, 64, 128
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,952,128,896,868, is 2.
Now, the common factors can be found like this.
286:2x 11x 13
952:2x 2x 2x 7x 17
128:2x 2x 2x 2x 2x 2x 2
896:2x 2x 2x 2x 2x 2x 2x 7
868:2x 2x 7x 31
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 2x 2x 2x 2x 2x 2x 2x 7x 7 = 200704
Therefore, the value for common factors is 200704.
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 = 27104455426048/(2x200704)
LCM = 27104455426048/401408
LCM = 67523456
Thus, we can understand that the LCM of 286,952,128,896,868 is 67523456.
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FAQs on LCM of 286, 952, 128, 896, 868
1. What is the LCM of 286, 952, 128, 896, 868?
Answer: LCM of 286, 952, 128, 896, 868 is 67523456.
2. How to calculate the LCM of 286, 952, 128, 896, 868?
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 286, 952, 128, 896, 868.
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}.