LCM of 160, 810, 716, 794, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 810, 716, 794, 309 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, 810, 716, 794, 309. So, keep reading to learn more.
Given numbers are 160,810,716,794,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,810,716,794,309 is 94860577440.
Find LCM of 160,810,716,794,309 with Prime Factorization
| 2 | 160, 810, 716, 794, 309 |
| 2 | 80, 405, 358, 397, 309 |
| 3 | 40, 405, 179, 397, 309 |
| 5 | 40, 135, 179, 397, 103 |
| 8, 27, 179, 397, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 8 x 27 x 179 x 397 x 103 = 94860577440
Therefore, the lowest common multiple of 160,810,716,794,309 is 94860577440.
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 810 x 716 x 794 x 309 = 22766538585600
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
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
716 : 1, 2, 4, 179, 358, 716
794 : 1, 2, 397, 794
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,810,716,794,309, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
810:2x 3x 3x 3x 3x 5
716:2x 2x 179
794:2x 397
309:3x 103
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 5 = 240
Therefore, the value for common factors is 240.
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 = 22766538585600/(1x240)
LCM = 22766538585600/240
LCM = 94860577440
Thus, we can understand that the LCM of 160,810,716,794,309 is 94860577440.
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FAQs on LCM of 160, 810, 716, 794, 309
1. What is the LCM of 160, 810, 716, 794, 309?
Answer: LCM of 160, 810, 716, 794, 309 is 94860577440.
2. How to calculate the LCM of 160, 810, 716, 794, 309?
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, 810, 716, 794, 309.
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}.