LCM of 811, 968, 886, 896, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 968, 886, 896, 176 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 811, 968, 886, 896, 176. So, keep reading to learn more.
Given numbers are 811,968,886,896,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,968,886,896,176 is 38950941568.
Find LCM of 811,968,886,896,176 with Prime Factorization
| 2 | 811, 968, 886, 896, 176 |
| 2 | 811, 484, 443, 448, 88 |
| 2 | 811, 242, 443, 224, 44 |
| 2 | 811, 121, 443, 112, 22 |
| 11 | 811, 121, 443, 56, 11 |
| 811, 1, 443, 56, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 811 x 1 x 443 x 56 x 11 = 38950941568
Therefore, the lowest common multiple of 811,968,886,896,176 is 38950941568.
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.
811 x 968 x 886 x 896 x 176 = 109685851455488
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.
811 : 1, 811
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
886 : 1, 2, 443, 886
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,968,886,896,176, is 1.
Now, the common factors can be found like this.
811:811
968:2x 2x 2x 11x 11
886:2x 443
896:2x 2x 2x 2x 2x 2x 2x 7
176:2x 2x 2x 2x 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 11 = 2816
Therefore, the value for common factors is 2816.
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 = 109685851455488/(1x2816)
LCM = 109685851455488/2816
LCM = 38950941568
Thus, we can understand that the LCM of 811,968,886,896,176 is 38950941568.
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FAQs on LCM of 811, 968, 886, 896, 176
1. What is the LCM of 811, 968, 886, 896, 176?
Answer: LCM of 811, 968, 886, 896, 176 is 38950941568.
2. How to calculate the LCM of 811, 968, 886, 896, 176?
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 811, 968, 886, 896, 176.
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}.