LCM of 987, 945, 675, 133, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 945, 675, 133, 829 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 987, 945, 675, 133, 829. So, keep reading to learn more.
Given numbers are 987,945,675,133,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,945,675,133,829 is 3497903325.
Find LCM of 987,945,675,133,829 with Prime Factorization
| 3 | 987, 945, 675, 133, 829 |
| 3 | 329, 315, 225, 133, 829 |
| 3 | 329, 105, 75, 133, 829 |
| 5 | 329, 35, 25, 133, 829 |
| 7 | 329, 7, 5, 133, 829 |
| 47, 1, 5, 19, 829 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 47 x 1 x 5 x 19 x 829 = 3497903325
Therefore, the lowest common multiple of 987,945,675,133,829 is 3497903325.
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.
987 x 945 x 675 x 133 x 829 = 69415891484625
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
133 : 1, 7, 19, 133
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,945,675,133,829, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
945:3x 3x 3x 5x 7
675:3x 3x 3x 5x 5
133:7x 19
829:829
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 7x 7 = 19845
Therefore, the value for common factors is 19845.
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 = 69415891484625/(1x19845)
LCM = 69415891484625/19845
LCM = 3497903325
Thus, we can understand that the LCM of 987,945,675,133,829 is 3497903325.
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FAQs on LCM of 987, 945, 675, 133, 829
1. What is the LCM of 987, 945, 675, 133, 829?
Answer: LCM of 987, 945, 675, 133, 829 is 3497903325.
2. How to calculate the LCM of 987, 945, 675, 133, 829?
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 987, 945, 675, 133, 829.
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}.