LCM of 906, 627, 415, 727, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 627, 415, 727, 912 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 906, 627, 415, 727, 912. So, keep reading to learn more.
Given numbers are 906,627,415,727,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,627,415,727,912 is 457032388560.
Find LCM of 906,627,415,727,912 with Prime Factorization
| 2 | 906, 627, 415, 727, 912 |
| 3 | 453, 627, 415, 727, 456 |
| 19 | 151, 209, 415, 727, 152 |
| 151, 11, 415, 727, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 151 x 11 x 415 x 727 x 8 = 457032388560
Therefore, the lowest common multiple of 906,627,415,727,912 is 457032388560.
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.
906 x 627 x 415 x 727 x 912 = 156305076887520
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
627 : 1, 3, 11, 19, 33, 57, 209, 627
415 : 1, 5, 83, 415
727 : 1, 727
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,627,415,727,912, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
627:3x 11x 19
415:5x 83
727:727
912:2x 2x 2x 2x 3x 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 19 = 342
Therefore, the value for common factors is 342.
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 = 156305076887520/(1x342)
LCM = 156305076887520/342
LCM = 457032388560
Thus, we can understand that the LCM of 906,627,415,727,912 is 457032388560.
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FAQs on LCM of 906, 627, 415, 727, 912
1. What is the LCM of 906, 627, 415, 727, 912?
Answer: LCM of 906, 627, 415, 727, 912 is 457032388560.
2. How to calculate the LCM of 906, 627, 415, 727, 912?
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 906, 627, 415, 727, 912.
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}.