LCM of 882, 561, 164, 731, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 561, 164, 731, 168 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 882, 561, 164, 731, 168. So, keep reading to learn more.
Given numbers are 882,561,164,731,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,561,164,731,168 is 1163114568.
Find LCM of 882,561,164,731,168 with Prime Factorization
| 2 | 882, 561, 164, 731, 168 |
| 2 | 441, 561, 82, 731, 84 |
| 3 | 441, 561, 41, 731, 42 |
| 7 | 147, 187, 41, 731, 14 |
| 17 | 21, 187, 41, 731, 2 |
| 21, 11, 41, 43, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 21 x 11 x 41 x 43 x 2 = 1163114568
Therefore, the lowest common multiple of 882,561,164,731,168 is 1163114568.
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.
882 x 561 x 164 x 731 x 168 = 9965565618624
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
561 : 1, 3, 11, 17, 33, 51, 187, 561
164 : 1, 2, 4, 41, 82, 164
731 : 1, 17, 43, 731
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,561,164,731,168, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
561:3x 11x 17
164:2x 2x 41
731:17x 43
168:2x 2x 2x 3x 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 2x 2x 3x 3x 7x 17 = 8568
Therefore, the value for common factors is 8568.
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 = 9965565618624/(1x8568)
LCM = 9965565618624/8568
LCM = 1163114568
Thus, we can understand that the LCM of 882,561,164,731,168 is 1163114568.
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FAQs on LCM of 882, 561, 164, 731, 168
1. What is the LCM of 882, 561, 164, 731, 168?
Answer: LCM of 882, 561, 164, 731, 168 is 1163114568.
2. How to calculate the LCM of 882, 561, 164, 731, 168?
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 882, 561, 164, 731, 168.
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}.