LCM of 811, 963, 963, 810, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 963, 963, 810, 545 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 811, 963, 963, 810, 545. So, keep reading to learn more.
Given numbers are 811,963,963,810,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,963,963,810,545 is 7661541330.
Find LCM of 811,963,963,810,545 with Prime Factorization
| 3 | 811, 963, 963, 810, 545 |
| 3 | 811, 321, 321, 270, 545 |
| 5 | 811, 107, 107, 90, 545 |
| 107 | 811, 107, 107, 18, 109 |
| 811, 1, 1, 18, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 107 x 811 x 1 x 1 x 18 x 109 = 7661541330
Therefore, the lowest common multiple of 811,963,963,810,545 is 7661541330.
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.
811 x 963 x 963 x 810 x 545 = 332012893535550
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.
811 : 1, 811
963 : 1, 3, 9, 107, 321, 963
963 : 1, 3, 9, 107, 321, 963
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,963,963,810,545, is 1.
Now, the common factors can be found like this.
811:811
963:3x 3x 107
963:3x 3x 107
810:2x 3x 3x 3x 3x 5
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 107 = 43335
Therefore, the value for common factors is 43335.
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 = 332012893535550/(1x43335)
LCM = 332012893535550/43335
LCM = 7661541330
Thus, we can understand that the LCM of 811,963,963,810,545 is 7661541330.
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FAQs on LCM of 811, 963, 963, 810, 545
1. What is the LCM of 811, 963, 963, 810, 545?
Answer: LCM of 811, 963, 963, 810, 545 is 7661541330.
2. How to calculate the LCM of 811, 963, 963, 810, 545?
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 811, 963, 963, 810, 545.
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}.