LCM of 170, 722, 687, 902, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 722, 687, 902, 198 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 170, 722, 687, 902, 198. So, keep reading to learn more.
Given numbers are 170,722,687,902,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,722,687,902,198 is 57044090070.
Find LCM of 170,722,687,902,198 with Prime Factorization
| 2 | 170, 722, 687, 902, 198 |
| 3 | 85, 361, 687, 451, 99 |
| 11 | 85, 361, 229, 451, 33 |
| 85, 361, 229, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 85 x 361 x 229 x 41 x 3 = 57044090070
Therefore, the lowest common multiple of 170,722,687,902,198 is 57044090070.
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.
170 x 722 x 687 x 902 x 198 = 15059639778480
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
722 : 1, 2, 19, 38, 361, 722
687 : 1, 3, 229, 687
902 : 1, 2, 11, 22, 41, 82, 451, 902
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,722,687,902,198, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
722:2x 19x 19
687:3x 229
902:2x 11x 41
198:2x 3x 3x 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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 15059639778480/(1x264)
LCM = 15059639778480/264
LCM = 57044090070
Thus, we can understand that the LCM of 170,722,687,902,198 is 57044090070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 170, 722, 687, 902, 198
1. What is the LCM of 170, 722, 687, 902, 198?
Answer: LCM of 170, 722, 687, 902, 198 is 57044090070.
2. How to calculate the LCM of 170, 722, 687, 902, 198?
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 170, 722, 687, 902, 198.
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}.