LCM of 886, 255, 108, 725, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 255, 108, 725, 918 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 886, 255, 108, 725, 918. So, keep reading to learn more.
Given numbers are 886,255,108,725,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,255,108,725,918 is 589677300.
Find LCM of 886,255,108,725,918 with Prime Factorization
| 2 | 886, 255, 108, 725, 918 |
| 3 | 443, 255, 54, 725, 459 |
| 3 | 443, 85, 18, 725, 153 |
| 3 | 443, 85, 6, 725, 51 |
| 5 | 443, 85, 2, 725, 17 |
| 17 | 443, 17, 2, 145, 17 |
| 443, 1, 2, 145, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 17 x 443 x 1 x 2 x 145 x 1 = 589677300
Therefore, the lowest common multiple of 886,255,108,725,918 is 589677300.
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.
886 x 255 x 108 x 725 x 918 = 16239712842000
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.
886 : 1, 2, 443, 886
255 : 1, 3, 5, 15, 17, 51, 85, 255
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
725 : 1, 5, 25, 29, 145, 725
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,255,108,725,918, is 1.
Now, the common factors can be found like this.
886:2x 443
255:3x 5x 17
108:2x 2x 3x 3x 3
725:5x 5x 29
918:2x 3x 3x 3x 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 3x 3x 3x 3x 5x 17 = 27540
Therefore, the value for common factors is 27540.
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 = 16239712842000/(1x27540)
LCM = 16239712842000/27540
LCM = 589677300
Thus, we can understand that the LCM of 886,255,108,725,918 is 589677300.
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FAQs on LCM of 886, 255, 108, 725, 918
1. What is the LCM of 886, 255, 108, 725, 918?
Answer: LCM of 886, 255, 108, 725, 918 is 589677300.
2. How to calculate the LCM of 886, 255, 108, 725, 918?
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 886, 255, 108, 725, 918.
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}.