LCM of 872, 952, 261, 806, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 952, 261, 806, 170 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 872, 952, 261, 806, 170. So, keep reading to learn more.
Given numbers are 872,952,261,806,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,952,261,806,170 is 54573147720.
Find LCM of 872,952,261,806,170 with Prime Factorization
| 2 | 872, 952, 261, 806, 170 |
| 2 | 436, 476, 261, 403, 85 |
| 2 | 218, 238, 261, 403, 85 |
| 17 | 109, 119, 261, 403, 85 |
| 109, 7, 261, 403, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 109 x 7 x 261 x 403 x 5 = 54573147720
Therefore, the lowest common multiple of 872,952,261,806,170 is 54573147720.
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.
872 x 952 x 261 x 806 x 170 = 29687792359680
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
261 : 1, 3, 9, 29, 87, 261
806 : 1, 2, 13, 26, 31, 62, 403, 806
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,952,261,806,170, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
952:2x 2x 2x 7x 17
261:3x 3x 29
806:2x 13x 31
170:2x 5x 17
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 17 = 544
Therefore, the value for common factors is 544.
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 = 29687792359680/(1x544)
LCM = 29687792359680/544
LCM = 54573147720
Thus, we can understand that the LCM of 872,952,261,806,170 is 54573147720.
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FAQs on LCM of 872, 952, 261, 806, 170
1. What is the LCM of 872, 952, 261, 806, 170?
Answer: LCM of 872, 952, 261, 806, 170 is 54573147720.
2. How to calculate the LCM of 872, 952, 261, 806, 170?
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 872, 952, 261, 806, 170.
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}.