LCM of 160, 844, 781, 574, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 844, 781, 574, 816 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, 844, 781, 574, 816. So, keep reading to learn more.
Given numbers are 160,844,781,574,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,844,781,574,816 is 385927338720.
Find LCM of 160,844,781,574,816 with Prime Factorization
| 2 | 160, 844, 781, 574, 816 |
| 2 | 80, 422, 781, 287, 408 |
| 2 | 40, 211, 781, 287, 204 |
| 2 | 20, 211, 781, 287, 102 |
| 10, 211, 781, 287, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 10 x 211 x 781 x 287 x 51 = 385927338720
Therefore, the lowest common multiple of 160,844,781,574,816 is 385927338720.
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 844 x 781 x 574 x 816 = 49398699356160
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
844 : 1, 2, 4, 211, 422, 844
781 : 1, 11, 71, 781
574 : 1, 2, 7, 14, 41, 82, 287, 574
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,844,781,574,816, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
844:2x 2x 211
781:11x 71
574:2x 7x 41
816:2x 2x 2x 2x 3x 17
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 2 = 128
Therefore, the value for common factors is 128.
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 = 49398699356160/(1x128)
LCM = 49398699356160/128
LCM = 385927338720
Thus, we can understand that the LCM of 160,844,781,574,816 is 385927338720.
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FAQs on LCM of 160, 844, 781, 574, 816
1. What is the LCM of 160, 844, 781, 574, 816?
Answer: LCM of 160, 844, 781, 574, 816 is 385927338720.
2. How to calculate the LCM of 160, 844, 781, 574, 816?
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, 844, 781, 574, 816.
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}.