LCM of 825, 308, 198, 633, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 308, 198, 633, 320 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, 308, 198, 633, 320. So, keep reading to learn more.
Given numbers are 825,308,198,633,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,308,198,633,320 is 233956800.
Find LCM of 825,308,198,633,320 with Prime Factorization
| 2 | 825, 308, 198, 633, 320 |
| 2 | 825, 154, 99, 633, 160 |
| 3 | 825, 77, 99, 633, 80 |
| 5 | 275, 77, 33, 211, 80 |
| 11 | 55, 77, 33, 211, 16 |
| 5, 7, 3, 211, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 5 x 7 x 3 x 211 x 16 = 233956800
Therefore, the lowest common multiple of 825,308,198,633,320 is 233956800.
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 308 x 198 x 633 x 320 = 10191158208000
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
633 : 1, 3, 211, 633
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,308,198,633,320, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
308:2x 2x 7x 11
198:2x 3x 3x 11
633:3x 211
320:2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5x 11x 11 = 43560
Therefore, the value for common factors is 43560.
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 = 10191158208000/(1x43560)
LCM = 10191158208000/43560
LCM = 233956800
Thus, we can understand that the LCM of 825,308,198,633,320 is 233956800.
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FAQs on LCM of 825, 308, 198, 633, 320
1. What is the LCM of 825, 308, 198, 633, 320?
Answer: LCM of 825, 308, 198, 633, 320 is 233956800.
2. How to calculate the LCM of 825, 308, 198, 633, 320?
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, 308, 198, 633, 320.
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}.