LCM of 163, 275, 815, 705, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 275, 815, 705, 115 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 163, 275, 815, 705, 115. So, keep reading to learn more.
Given numbers are 163,275,815,705,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,275,815,705,115 is 145367475.
Find LCM of 163,275,815,705,115 with Prime Factorization
| 5 | 163, 275, 815, 705, 115 |
| 163 | 163, 55, 163, 141, 23 |
| 1, 55, 1, 141, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 163 x 1 x 55 x 1 x 141 x 23 = 145367475
Therefore, the lowest common multiple of 163,275,815,705,115 is 145367475.
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.
163 x 275 x 815 x 705 x 115 = 2961862303125
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.
163 : 1, 163
275 : 1, 5, 11, 25, 55, 275
815 : 1, 5, 163, 815
705 : 1, 3, 5, 15, 47, 141, 235, 705
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,275,815,705,115, is 1.
Now, the common factors can be found like this.
163:163
275:5x 5x 11
815:5x 163
705:3x 5x 47
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 163 = 20375
Therefore, the value for common factors is 20375.
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 = 2961862303125/(1x20375)
LCM = 2961862303125/20375
LCM = 145367475
Thus, we can understand that the LCM of 163,275,815,705,115 is 145367475.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 163, 275, 815, 705, 115
1. What is the LCM of 163, 275, 815, 705, 115?
Answer: LCM of 163, 275, 815, 705, 115 is 145367475.
2. How to calculate the LCM of 163, 275, 815, 705, 115?
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 163, 275, 815, 705, 115.
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}.