LCM of 167, 815, 361, 720, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 815, 361, 720, 516 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 167, 815, 361, 720, 516. So, keep reading to learn more.
Given numbers are 167,815,361,720,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,815,361,720,516 is 304237139760.
Find LCM of 167,815,361,720,516 with Prime Factorization
| 2 | 167, 815, 361, 720, 516 |
| 2 | 167, 815, 361, 360, 258 |
| 3 | 167, 815, 361, 180, 129 |
| 5 | 167, 815, 361, 60, 43 |
| 167, 163, 361, 12, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 167 x 163 x 361 x 12 x 43 = 304237139760
Therefore, the lowest common multiple of 167,815,361,720,516 is 304237139760.
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.
167 x 815 x 361 x 720 x 516 = 18254228385600
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.
167 : 1, 167
815 : 1, 5, 163, 815
361 : 1, 19, 361
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,815,361,720,516, is 1.
Now, the common factors can be found like this.
167:167
815:5x 163
361:19x 19
720:2x 2x 2x 2x 3x 3x 5
516:2x 2x 3x 43
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 5 = 60
Therefore, the value for common factors is 60.
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 = 18254228385600/(1x60)
LCM = 18254228385600/60
LCM = 304237139760
Thus, we can understand that the LCM of 167,815,361,720,516 is 304237139760.
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FAQs on LCM of 167, 815, 361, 720, 516
1. What is the LCM of 167, 815, 361, 720, 516?
Answer: LCM of 167, 815, 361, 720, 516 is 304237139760.
2. How to calculate the LCM of 167, 815, 361, 720, 516?
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 167, 815, 361, 720, 516.
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}.