LCM of 167, 723, 888, 962, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 723, 888, 962, 160 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, 723, 888, 962, 160. So, keep reading to learn more.
Given numbers are 167,723,888,962,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,723,888,962,160 is 9292227360.
Find LCM of 167,723,888,962,160 with Prime Factorization
| 2 | 167, 723, 888, 962, 160 |
| 2 | 167, 723, 444, 481, 80 |
| 2 | 167, 723, 222, 481, 40 |
| 3 | 167, 723, 111, 481, 20 |
| 37 | 167, 241, 37, 481, 20 |
| 167, 241, 1, 13, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 167 x 241 x 1 x 13 x 20 = 9292227360
Therefore, the lowest common multiple of 167,723,888,962,160 is 9292227360.
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 723 x 888 x 962 x 160 = 16502995791360
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
723 : 1, 3, 241, 723
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
962 : 1, 2, 13, 26, 37, 74, 481, 962
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,723,888,962,160, is 1.
Now, the common factors can be found like this.
167:167
723:3x 241
888:2x 2x 2x 3x 37
962:2x 13x 37
160:2x 2x 2x 2x 2x 5
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 3x 37 = 1776
Therefore, the value for common factors is 1776.
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 = 16502995791360/(1x1776)
LCM = 16502995791360/1776
LCM = 9292227360
Thus, we can understand that the LCM of 167,723,888,962,160 is 9292227360.
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FAQs on LCM of 167, 723, 888, 962, 160
1. What is the LCM of 167, 723, 888, 962, 160?
Answer: LCM of 167, 723, 888, 962, 160 is 9292227360.
2. How to calculate the LCM of 167, 723, 888, 962, 160?
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, 723, 888, 962, 160.
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}.