LCM of 825, 335, 475, 990, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 335, 475, 990, 741 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, 335, 475, 990, 741. So, keep reading to learn more.
Given numbers are 825,335,475,990,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,335,475,990,741 is 81917550.
Find LCM of 825,335,475,990,741 with Prime Factorization
| 3 | 825, 335, 475, 990, 741 |
| 5 | 275, 335, 475, 330, 247 |
| 5 | 55, 67, 95, 66, 247 |
| 11 | 11, 67, 19, 66, 247 |
| 19 | 1, 67, 19, 6, 247 |
| 1, 67, 1, 6, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 11 x 19 x 1 x 67 x 1 x 6 x 13 = 81917550
Therefore, the lowest common multiple of 825,335,475,990,741 is 81917550.
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 335 x 475 x 990 x 741 = 96304319718750
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
335 : 1, 5, 67, 335
475 : 1, 5, 19, 25, 95, 475
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,335,475,990,741, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
335:5x 67
475:5x 5x 19
990:2x 3x 3x 5x 11
741:3x 13x 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 5x 5x 5x 5x 11x 19 = 1175625
Therefore, the value for common factors is 1175625.
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 = 96304319718750/(1x1175625)
LCM = 96304319718750/1175625
LCM = 81917550
Thus, we can understand that the LCM of 825,335,475,990,741 is 81917550.
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FAQs on LCM of 825, 335, 475, 990, 741
1. What is the LCM of 825, 335, 475, 990, 741?
Answer: LCM of 825, 335, 475, 990, 741 is 81917550.
2. How to calculate the LCM of 825, 335, 475, 990, 741?
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, 335, 475, 990, 741.
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}.