LCM of 809, 247, 546, 906, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 247, 546, 906, 855 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 809, 247, 546, 906, 855. So, keep reading to learn more.
Given numbers are 809,247,546,906,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,247,546,906,855 is 19009161990.
Find LCM of 809,247,546,906,855 with Prime Factorization
| 2 | 809, 247, 546, 906, 855 |
| 3 | 809, 247, 273, 453, 855 |
| 13 | 809, 247, 91, 151, 285 |
| 19 | 809, 19, 7, 151, 285 |
| 809, 1, 7, 151, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 809 x 1 x 7 x 151 x 15 = 19009161990
Therefore, the lowest common multiple of 809,247,546,906,855 is 19009161990.
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.
809 x 247 x 546 x 906 x 855 = 84514734207540
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.
809 : 1, 809
247 : 1, 13, 19, 247
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
906 : 1, 2, 3, 6, 151, 302, 453, 906
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,247,546,906,855, is 1.
Now, the common factors can be found like this.
809:809
247:13x 19
546:2x 3x 7x 13
906:2x 3x 151
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 19 = 4446
Therefore, the value for common factors is 4446.
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 = 84514734207540/(1x4446)
LCM = 84514734207540/4446
LCM = 19009161990
Thus, we can understand that the LCM of 809,247,546,906,855 is 19009161990.
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FAQs on LCM of 809, 247, 546, 906, 855
1. What is the LCM of 809, 247, 546, 906, 855?
Answer: LCM of 809, 247, 546, 906, 855 is 19009161990.
2. How to calculate the LCM of 809, 247, 546, 906, 855?
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 809, 247, 546, 906, 855.
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}.