LCM of 825, 915, 754, 235, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 915, 754, 235, 329 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 825, 915, 754, 235, 329. So, keep reading to learn more.
Given numbers are 825,915,754,235,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,915,754,235,329 is 12483921450.
Find LCM of 825,915,754,235,329 with Prime Factorization
| 3 | 825, 915, 754, 235, 329 |
| 5 | 275, 305, 754, 235, 329 |
| 47 | 55, 61, 754, 47, 329 |
| 55, 61, 754, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 55 x 61 x 754 x 1 x 7 = 12483921450
Therefore, the lowest common multiple of 825,915,754,235,329 is 12483921450.
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.
825 x 915 x 754 x 235 x 329 = 44005823111250
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
915 : 1, 3, 5, 15, 61, 183, 305, 915
754 : 1, 2, 13, 26, 29, 58, 377, 754
235 : 1, 5, 47, 235
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,915,754,235,329, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
915:3x 5x 61
754:2x 13x 29
235:5x 47
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 47 = 3525
Therefore, the value for common factors is 3525.
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 = 44005823111250/(1x3525)
LCM = 44005823111250/3525
LCM = 12483921450
Thus, we can understand that the LCM of 825,915,754,235,329 is 12483921450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 915, 754, 235, 329
1. What is the LCM of 825, 915, 754, 235, 329?
Answer: LCM of 825, 915, 754, 235, 329 is 12483921450.
2. How to calculate the LCM of 825, 915, 754, 235, 329?
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 825, 915, 754, 235, 329.
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}.