LCM of 881, 116, 164, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 116, 164, 328 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 881, 116, 164, 328. So, keep reading to learn more.
Given numbers are 881,116,164,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,116,164,328 is 8380072.
Find LCM of 881,116,164,328 with Prime Factorization
| 2 | 881, 116, 164, 328 |
| 2 | 881, 58, 82, 164 |
| 41 | 881, 29, 41, 82 |
| 881, 29, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 881 x 29 x 1 x 2 = 8380072
Therefore, the lowest common multiple of 881,116,164,328 is 8380072.
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.
881 x 116 x 164 x 328 = 5497327232
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.
881 : 1, 881
116 : 1, 2, 4, 29, 58, 116
164 : 1, 2, 4, 41, 82, 164
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,116,164,328, is 1.
Now, the common factors can be found like this.
881:881
116:2x 2x 29
164:2x 2x 41
328:2x 2x 2x 41
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 41 = 656
Therefore, the value for common factors is 656.
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 = 5497327232/(1x656)
LCM = 5497327232/656
LCM = 8380072
Thus, we can understand that the LCM of 881,116,164,328 is 8380072.
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FAQs on LCM of 881, 116, 164, 328
1. What is the LCM of 881, 116, 164, 328?
Answer: LCM of 881, 116, 164, 328 is 8380072.
2. How to calculate the LCM of 881, 116, 164, 328?
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 881, 116, 164, 328.
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}.