LCM of 896, 189, 529, 946, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 189, 529, 946, 943 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, 189, 529, 946, 943. So, keep reading to learn more.
Given numbers are 896,189,529,946,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,189,529,946,943 is 248183236224.
Find LCM of 896,189,529,946,943 with Prime Factorization
| 2 | 896, 189, 529, 946, 943 |
| 7 | 448, 189, 529, 473, 943 |
| 23 | 64, 27, 529, 473, 943 |
| 64, 27, 23, 473, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 64 x 27 x 23 x 473 x 41 = 248183236224
Therefore, the lowest common multiple of 896,189,529,946,943 is 248183236224.
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 189 x 529 x 946 x 943 = 79915002064128
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
529 : 1, 23, 529
946 : 1, 2, 11, 22, 43, 86, 473, 946
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,189,529,946,943, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
189:3x 3x 3x 7
529:23x 23
946:2x 11x 43
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 79915002064128/(1x322)
LCM = 79915002064128/322
LCM = 248183236224
Thus, we can understand that the LCM of 896,189,529,946,943 is 248183236224.
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FAQs on LCM of 896, 189, 529, 946, 943
1. What is the LCM of 896, 189, 529, 946, 943?
Answer: LCM of 896, 189, 529, 946, 943 is 248183236224.
2. How to calculate the LCM of 896, 189, 529, 946, 943?
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, 189, 529, 946, 943.
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}.