LCM of 622, 933, 156, 845, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 933, 156, 845, 706 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 622, 933, 156, 845, 706. So, keep reading to learn more.
Given numbers are 622,933,156,845,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,933,156,845,706 is 1113199620.
Find LCM of 622,933,156,845,706 with Prime Factorization
| 2 | 622, 933, 156, 845, 706 |
| 3 | 311, 933, 78, 845, 353 |
| 13 | 311, 311, 26, 845, 353 |
| 311 | 311, 311, 2, 65, 353 |
| 1, 1, 2, 65, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 311 x 1 x 1 x 2 x 65 x 353 = 1113199620
Therefore, the lowest common multiple of 622,933,156,845,706 is 1113199620.
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.
622 x 933 x 156 x 845 x 706 = 54007992763920
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.
622 : 1, 2, 311, 622
933 : 1, 3, 311, 933
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
845 : 1, 5, 13, 65, 169, 845
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,933,156,845,706, is 1.
Now, the common factors can be found like this.
622:2x 311
933:3x 311
156:2x 2x 3x 13
845:5x 13x 13
706:2x 353
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 13x 311 = 48516
Therefore, the value for common factors is 48516.
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 = 54007992763920/(1x48516)
LCM = 54007992763920/48516
LCM = 1113199620
Thus, we can understand that the LCM of 622,933,156,845,706 is 1113199620.
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FAQs on LCM of 622, 933, 156, 845, 706
1. What is the LCM of 622, 933, 156, 845, 706?
Answer: LCM of 622, 933, 156, 845, 706 is 1113199620.
2. How to calculate the LCM of 622, 933, 156, 845, 706?
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 622, 933, 156, 845, 706.
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}.