LCM of 160, 916, 505, 162, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 916, 505, 162, 616 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 160, 916, 505, 162, 616. So, keep reading to learn more.
Given numbers are 160,916,505,162,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,916,505,162,616 is 23080891680.
Find LCM of 160,916,505,162,616 with Prime Factorization
| 2 | 160, 916, 505, 162, 616 |
| 2 | 80, 458, 505, 81, 308 |
| 2 | 40, 229, 505, 81, 154 |
| 5 | 20, 229, 505, 81, 77 |
| 4, 229, 101, 81, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 4 x 229 x 101 x 81 x 77 = 23080891680
Therefore, the lowest common multiple of 160,916,505,162,616 is 23080891680.
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.
160 x 916 x 505 x 162 x 616 = 7385885337600
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
916 : 1, 2, 4, 229, 458, 916
505 : 1, 5, 101, 505
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,916,505,162,616, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
916:2x 2x 229
505:5x 101
162:2x 3x 3x 3x 3
616:2x 2x 2x 7x 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 2x 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 7385885337600/(1x320)
LCM = 7385885337600/320
LCM = 23080891680
Thus, we can understand that the LCM of 160,916,505,162,616 is 23080891680.
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FAQs on LCM of 160, 916, 505, 162, 616
1. What is the LCM of 160, 916, 505, 162, 616?
Answer: LCM of 160, 916, 505, 162, 616 is 23080891680.
2. How to calculate the LCM of 160, 916, 505, 162, 616?
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 160, 916, 505, 162, 616.
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}.