LCM of 663, 822, 822, 998, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 822, 822, 998, 175 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 663, 822, 822, 998, 175. So, keep reading to learn more.
Given numbers are 663,822,822,998,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,822,822,998,175 is 15863634150.
Find LCM of 663,822,822,998,175 with Prime Factorization
| 2 | 663, 822, 822, 998, 175 |
| 3 | 663, 411, 411, 499, 175 |
| 137 | 221, 137, 137, 499, 175 |
| 221, 1, 1, 499, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 221 x 1 x 1 x 499 x 175 = 15863634150
Therefore, the lowest common multiple of 663,822,822,998,175 is 15863634150.
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.
663 x 822 x 822 x 998 x 175 = 78239443627800
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
822 : 1, 2, 3, 6, 137, 274, 411, 822
822 : 1, 2, 3, 6, 137, 274, 411, 822
998 : 1, 2, 499, 998
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,822,822,998,175, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
822:2x 3x 137
822:2x 3x 137
998:2x 499
175:5x 5x 7
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 3x 3x 137 = 4932
Therefore, the value for common factors is 4932.
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 = 78239443627800/(1x4932)
LCM = 78239443627800/4932
LCM = 15863634150
Thus, we can understand that the LCM of 663,822,822,998,175 is 15863634150.
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FAQs on LCM of 663, 822, 822, 998, 175
1. What is the LCM of 663, 822, 822, 998, 175?
Answer: LCM of 663, 822, 822, 998, 175 is 15863634150.
2. How to calculate the LCM of 663, 822, 822, 998, 175?
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 663, 822, 822, 998, 175.
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}.