LCM of 829, 865, 999, 702, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 865, 999, 702, 985 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 829, 865, 999, 702, 985. So, keep reading to learn more.
Given numbers are 829,865,999,702,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,865,999,702,985 is 3669236460630.
Find LCM of 829,865,999,702,985 with Prime Factorization
| 3 | 829, 865, 999, 702, 985 |
| 3 | 829, 865, 333, 234, 985 |
| 3 | 829, 865, 111, 78, 985 |
| 5 | 829, 865, 37, 26, 985 |
| 829, 173, 37, 26, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 829 x 173 x 37 x 26 x 197 = 3669236460630
Therefore, the lowest common multiple of 829,865,999,702,985 is 3669236460630.
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.
829 x 865 x 999 x 702 x 985 = 495346922185050
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.
829 : 1, 829
865 : 1, 5, 173, 865
999 : 1, 3, 9, 27, 37, 111, 333, 999
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,865,999,702,985, is 1.
Now, the common factors can be found like this.
829:829
865:5x 173
999:3x 3x 3x 37
702:2x 3x 3x 3x 13
985:5x 197
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 5 = 135
Therefore, the value for common factors is 135.
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 = 495346922185050/(1x135)
LCM = 495346922185050/135
LCM = 3669236460630
Thus, we can understand that the LCM of 829,865,999,702,985 is 3669236460630.
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FAQs on LCM of 829, 865, 999, 702, 985
1. What is the LCM of 829, 865, 999, 702, 985?
Answer: LCM of 829, 865, 999, 702, 985 is 3669236460630.
2. How to calculate the LCM of 829, 865, 999, 702, 985?
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 829, 865, 999, 702, 985.
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}.