LCM of 171, 990, 597, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 171, 990, 597, 110 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 171, 990, 597, 110. So, keep reading to learn more.
Given numbers are 171,990,597,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,990,597,110 is 3743190.
Find LCM of 171,990,597,110 with Prime Factorization
| 2 | 171, 990, 597, 110 |
| 3 | 171, 495, 597, 55 |
| 3 | 57, 165, 199, 55 |
| 5 | 19, 55, 199, 55 |
| 11 | 19, 11, 199, 11 |
| 19, 1, 199, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 19 x 1 x 199 x 1 = 3743190
Therefore, the lowest common multiple of 171,990,597,110 is 3743190.
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.
171 x 990 x 597 x 110 = 11117274300
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.
171 : 1, 3, 9, 19, 57, 171
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
597 : 1, 3, 199, 597
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,990,597,110, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
990:2x 3x 3x 5x 11
597:3x 199
110:2x 5x 11
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 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 11117274300/(1x2970)
LCM = 11117274300/2970
LCM = 3743190
Thus, we can understand that the LCM of 171,990,597,110 is 3743190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 171, 990, 597, 110
1. What is the LCM of 171, 990, 597, 110?
Answer: LCM of 171, 990, 597, 110 is 3743190.
2. How to calculate the LCM of 171, 990, 597, 110?
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 171, 990, 597, 110.
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}.