LCM of 559, 990, 171, 991, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 990, 171, 991, 650 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 559, 990, 171, 991, 650. So, keep reading to learn more.
Given numbers are 559,990,171,991,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,990,171,991,650 is 52100784450.
Find LCM of 559,990,171,991,650 with Prime Factorization
| 2 | 559, 990, 171, 991, 650 |
| 3 | 559, 495, 171, 991, 325 |
| 3 | 559, 165, 57, 991, 325 |
| 5 | 559, 55, 19, 991, 325 |
| 13 | 559, 11, 19, 991, 65 |
| 43, 11, 19, 991, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 43 x 11 x 19 x 991 x 5 = 52100784450
Therefore, the lowest common multiple of 559,990,171,991,650 is 52100784450.
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.
559 x 990 x 171 x 991 x 650 = 60957917806500
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.
559 : 1, 13, 43, 559
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
171 : 1, 3, 9, 19, 57, 171
991 : 1, 991
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,990,171,991,650, is 1.
Now, the common factors can be found like this.
559:13x 43
990:2x 3x 3x 5x 11
171:3x 3x 19
991:991
650:2x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 60957917806500/(1x1170)
LCM = 60957917806500/1170
LCM = 52100784450
Thus, we can understand that the LCM of 559,990,171,991,650 is 52100784450.
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FAQs on LCM of 559, 990, 171, 991, 650
1. What is the LCM of 559, 990, 171, 991, 650?
Answer: LCM of 559, 990, 171, 991, 650 is 52100784450.
2. How to calculate the LCM of 559, 990, 171, 991, 650?
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 559, 990, 171, 991, 650.
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}.