LCM of 171, 570, 945, 585, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 171, 570, 945, 585, 965 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, 570, 945, 585, 965. So, keep reading to learn more.
Given numbers are 171,570,945,585,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,570,945,585,965 is 90098190.
Find LCM of 171,570,945,585,965 with Prime Factorization
| 3 | 171, 570, 945, 585, 965 |
| 3 | 57, 190, 315, 195, 965 |
| 5 | 19, 190, 105, 65, 965 |
| 19 | 19, 38, 21, 13, 193 |
| 1, 2, 21, 13, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 1 x 2 x 21 x 13 x 193 = 90098190
Therefore, the lowest common multiple of 171,570,945,585,965 is 90098190.
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 570 x 945 x 585 x 965 = 51997917903750
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,570,945,585,965, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
570:2x 3x 5x 19
945:3x 3x 3x 5x 7
585:3x 3x 5x 13
965:5x 193
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 3x 3x 3x 5x 5x 5x 19 = 577125
Therefore, the value for common factors is 577125.
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 = 51997917903750/(1x577125)
LCM = 51997917903750/577125
LCM = 90098190
Thus, we can understand that the LCM of 171,570,945,585,965 is 90098190.
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FAQs on LCM of 171, 570, 945, 585, 965
1. What is the LCM of 171, 570, 945, 585, 965?
Answer: LCM of 171, 570, 945, 585, 965 is 90098190.
2. How to calculate the LCM of 171, 570, 945, 585, 965?
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, 570, 945, 585, 965.
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}.