LCM of 106, 215, 371, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 215, 371, 896 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 106, 215, 371, 896. So, keep reading to learn more.
Given numbers are 106,215,371,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,215,371,896 is 10209920.
Find LCM of 106,215,371,896 with Prime Factorization
| 2 | 106, 215, 371, 896 |
| 7 | 53, 215, 371, 448 |
| 53 | 53, 215, 53, 64 |
| 1, 215, 1, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 1 x 215 x 1 x 64 = 10209920
Therefore, the lowest common multiple of 106,215,371,896 is 10209920.
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.
106 x 215 x 371 x 896 = 7575760640
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.
106 : 1, 2, 53, 106
215 : 1, 5, 43, 215
371 : 1, 7, 53, 371
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,215,371,896, is 1.
Now, the common factors can be found like this.
106:2x 53
215:5x 43
371:7x 53
896:2x 2x 2x 2x 2x 2x 2x 7
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 53 = 742
Therefore, the value for common factors is 742.
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 = 7575760640/(1x742)
LCM = 7575760640/742
LCM = 10209920
Thus, we can understand that the LCM of 106,215,371,896 is 10209920.
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FAQs on LCM of 106, 215, 371, 896
1. What is the LCM of 106, 215, 371, 896?
Answer: LCM of 106, 215, 371, 896 is 10209920.
2. How to calculate the LCM of 106, 215, 371, 896?
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 106, 215, 371, 896.
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}.