LCM of 896, 996, 385, 824, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 996, 385, 824, 341 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, 996, 385, 824, 341. So, keep reading to learn more.
Given numbers are 896,996,385,824,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,996,385,824,341 is 39180408960.
Find LCM of 896,996,385,824,341 with Prime Factorization
| 2 | 896, 996, 385, 824, 341 |
| 2 | 448, 498, 385, 412, 341 |
| 2 | 224, 249, 385, 206, 341 |
| 7 | 112, 249, 385, 103, 341 |
| 11 | 16, 249, 55, 103, 341 |
| 16, 249, 5, 103, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 16 x 249 x 5 x 103 x 31 = 39180408960
Therefore, the lowest common multiple of 896,996,385,824,341 is 39180408960.
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 996 x 385 x 824 x 341 = 96540527677440
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
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
385 : 1, 5, 7, 11, 35, 55, 77, 385
824 : 1, 2, 4, 8, 103, 206, 412, 824
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,996,385,824,341, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
996:2x 2x 3x 83
385:5x 7x 11
824:2x 2x 2x 103
341:11x 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 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 96540527677440/(1x2464)
LCM = 96540527677440/2464
LCM = 39180408960
Thus, we can understand that the LCM of 896,996,385,824,341 is 39180408960.
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FAQs on LCM of 896, 996, 385, 824, 341
1. What is the LCM of 896, 996, 385, 824, 341?
Answer: LCM of 896, 996, 385, 824, 341 is 39180408960.
2. How to calculate the LCM of 896, 996, 385, 824, 341?
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, 996, 385, 824, 341.
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}.