LCM of 533, 726, 529, 417, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 726, 529, 417, 966 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 533, 726, 529, 417, 966. So, keep reading to learn more.
Given numbers are 533,726,529,417,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,726,529,417,966 is 199173860886.
Find LCM of 533,726,529,417,966 with Prime Factorization
| 2 | 533, 726, 529, 417, 966 |
| 3 | 533, 363, 529, 417, 483 |
| 23 | 533, 121, 529, 139, 161 |
| 533, 121, 23, 139, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 533 x 121 x 23 x 139 x 7 = 199173860886
Therefore, the lowest common multiple of 533,726,529,417,966 is 199173860886.
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.
533 x 726 x 529 x 417 x 966 = 82457978406804
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.
533 : 1, 13, 41, 533
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
529 : 1, 23, 529
417 : 1, 3, 139, 417
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,726,529,417,966, is 1.
Now, the common factors can be found like this.
533:13x 41
726:2x 3x 11x 11
529:23x 23
417:3x 139
966:2x 3x 7x 23
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 23 = 414
Therefore, the value for common factors is 414.
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 = 82457978406804/(1x414)
LCM = 82457978406804/414
LCM = 199173860886
Thus, we can understand that the LCM of 533,726,529,417,966 is 199173860886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 533, 726, 529, 417, 966
1. What is the LCM of 533, 726, 529, 417, 966?
Answer: LCM of 533, 726, 529, 417, 966 is 199173860886.
2. How to calculate the LCM of 533, 726, 529, 417, 966?
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 533, 726, 529, 417, 966.
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}.