LCM of 861, 969, 829, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 969, 829, 513 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 861, 969, 829, 513. So, keep reading to learn more.
Given numbers are 861,969,829,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,969,829,513 is 2074926483.
Find LCM of 861,969,829,513 with Prime Factorization
| 3 | 861, 969, 829, 513 |
| 19 | 287, 323, 829, 171 |
| 287, 17, 829, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 287 x 17 x 829 x 9 = 2074926483
Therefore, the lowest common multiple of 861,969,829,513 is 2074926483.
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.
861 x 969 x 829 x 513 = 354812428593
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
969 : 1, 3, 17, 19, 51, 57, 323, 969
829 : 1, 829
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,969,829,513, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
969:3x 17x 19
829:829
513:3x 3x 3x 19
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 19 = 171
Therefore, the value for common factors is 171.
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 = 354812428593/(1x171)
LCM = 354812428593/171
LCM = 2074926483
Thus, we can understand that the LCM of 861,969,829,513 is 2074926483.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 969, 829, 513
1. What is the LCM of 861, 969, 829, 513?
Answer: LCM of 861, 969, 829, 513 is 2074926483.
2. How to calculate the LCM of 861, 969, 829, 513?
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 861, 969, 829, 513.
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}.