Find the LCM of 906, 806, 241, 234, 727 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, 806, 241, 234, 727. So, keep reading to learn more.
Given numbers are 906,806,241,234,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,806,241,234,727 is 191913688278.
Find LCM of 906,806,241,234,727 with Prime Factorization
2 | 906, 806, 241, 234, 727 |
3 | 453, 403, 241, 117, 727 |
13 | 151, 403, 241, 39, 727 |
151, 31, 241, 3, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 151 x 31 x 241 x 3 x 727 = 191913688278
Therefore, the lowest common multiple of 906,806,241,234,727 is 191913688278.
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 806 x 241 x 234 x 727 = 29938535371368
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
241 : 1, 241
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,806,241,234,727, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
806:2x 13x 31
241:241
234:2x 3x 3x 13
727:727
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 29938535371368/(1x156)
LCM = 29938535371368/156
LCM = 191913688278
Thus, we can understand that the LCM of 906,806,241,234,727 is 191913688278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 806, 241, 234, 727?
Answer: LCM of 906, 806, 241, 234, 727 is 191913688278.
2. How to calculate the LCM of 906, 806, 241, 234, 727?
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, 806, 241, 234, 727.
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}.