LCM of 559, 922, 927, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 922, 927, 946 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 559, 922, 927, 946. So, keep reading to learn more.
Given numbers are 559,922,927,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,922,927,946 is 5255513406.
Find LCM of 559,922,927,946 with Prime Factorization
| 2 | 559, 922, 927, 946 |
| 43 | 559, 461, 927, 473 |
| 13, 461, 927, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 13 x 461 x 927 x 11 = 5255513406
Therefore, the lowest common multiple of 559,922,927,946 is 5255513406.
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.
559 x 922 x 927 x 946 = 451974152916
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.
559 : 1, 13, 43, 559
922 : 1, 2, 461, 922
927 : 1, 3, 9, 103, 309, 927
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,922,927,946, is 1.
Now, the common factors can be found like this.
559:13x 43
922:2x 461
927:3x 3x 103
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 43 = 86
Therefore, the value for common factors is 86.
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 = 451974152916/(1x86)
LCM = 451974152916/86
LCM = 5255513406
Thus, we can understand that the LCM of 559,922,927,946 is 5255513406.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 559, 922, 927, 946
1. What is the LCM of 559, 922, 927, 946?
Answer: LCM of 559, 922, 927, 946 is 5255513406.
2. How to calculate the LCM of 559, 922, 927, 946?
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 559, 922, 927, 946.
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}.