LCM of 896, 845, 821, 280, 922
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 845, 821, 280, 922 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, 845, 821, 280, 922. So, keep reading to learn more.
Given numbers are 896,845,821,280,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,845,821,280,922 is 286555534720.
Find LCM of 896,845,821,280,922 with Prime Factorization
| 2 | 896, 845, 821, 280, 922 |
| 2 | 448, 845, 821, 140, 461 |
| 2 | 224, 845, 821, 70, 461 |
| 5 | 112, 845, 821, 35, 461 |
| 7 | 112, 169, 821, 7, 461 |
| 16, 169, 821, 1, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 16 x 169 x 821 x 1 x 461 = 286555534720
Therefore, the lowest common multiple of 896,845,821,280,922 is 286555534720.
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 845 x 821 x 280 x 922 = 160471099443200
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
845 : 1, 5, 13, 65, 169, 845
821 : 1, 821
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,845,821,280,922, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
845:5x 13x 13
821:821
280:2x 2x 2x 5x 7
922:2x 461
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 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 160471099443200/(1x560)
LCM = 160471099443200/560
LCM = 286555534720
Thus, we can understand that the LCM of 896,845,821,280,922 is 286555534720.
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FAQs on LCM of 896, 845, 821, 280, 922
1. What is the LCM of 896, 845, 821, 280, 922?
Answer: LCM of 896, 845, 821, 280, 922 is 286555534720.
2. How to calculate the LCM of 896, 845, 821, 280, 922?
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, 845, 821, 280, 922.
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}.