LCM of 821, 896, 768, 546, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 896, 768, 546, 231 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 821, 896, 768, 546, 231. So, keep reading to learn more.
Given numbers are 821,896,768,546,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,896,768,546,231 is 631158528.
Find LCM of 821,896,768,546,231 with Prime Factorization
| 2 | 821, 896, 768, 546, 231 |
| 2 | 821, 448, 384, 273, 231 |
| 2 | 821, 224, 192, 273, 231 |
| 2 | 821, 112, 96, 273, 231 |
| 2 | 821, 56, 48, 273, 231 |
| 2 | 821, 28, 24, 273, 231 |
| 2 | 821, 14, 12, 273, 231 |
| 3 | 821, 7, 6, 273, 231 |
| 7 | 821, 7, 2, 91, 77 |
| 821, 1, 2, 13, 11 |
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 3 x 7 x 821 x 1 x 2 x 13 x 11 = 631158528
Therefore, the lowest common multiple of 821,896,768,546,231 is 631158528.
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.
821 x 896 x 768 x 546 x 231 = 71255273177088
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.
821 : 1, 821
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,896,768,546,231, is 1.
Now, the common factors can be found like this.
821:821
896:2x 2x 2x 2x 2x 2x 2x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
546:2x 3x 7x 13
231:3x 7x 11
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 3x 3x 7x 7 = 112896
Therefore, the value for common factors is 112896.
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 = 71255273177088/(1x112896)
LCM = 71255273177088/112896
LCM = 631158528
Thus, we can understand that the LCM of 821,896,768,546,231 is 631158528.
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FAQs on LCM of 821, 896, 768, 546, 231
1. What is the LCM of 821, 896, 768, 546, 231?
Answer: LCM of 821, 896, 768, 546, 231 is 631158528.
2. How to calculate the LCM of 821, 896, 768, 546, 231?
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 821, 896, 768, 546, 231.
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}.