LCM of 524, 800, 945, 969, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 800, 945, 969, 170 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 524, 800, 945, 969, 170. So, keep reading to learn more.
Given numbers are 524,800,945,969,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,800,945,969,170 is 6397725600.
Find LCM of 524,800,945,969,170 with Prime Factorization
| 2 | 524, 800, 945, 969, 170 |
| 2 | 262, 400, 945, 969, 85 |
| 3 | 131, 200, 945, 969, 85 |
| 5 | 131, 200, 315, 323, 85 |
| 17 | 131, 40, 63, 323, 17 |
| 131, 40, 63, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 131 x 40 x 63 x 19 x 1 = 6397725600
Therefore, the lowest common multiple of 524,800,945,969,170 is 6397725600.
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.
524 x 800 x 945 x 969 x 170 = 65256801120000
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.
524 : 1, 2, 4, 131, 262, 524
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
969 : 1, 3, 17, 19, 51, 57, 323, 969
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,800,945,969,170, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
800:2x 2x 2x 2x 2x 5x 5
945:3x 3x 3x 5x 7
969:3x 17x 19
170:2x 5x 17
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 5x 5x 17 = 10200
Therefore, the value for common factors is 10200.
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 = 65256801120000/(1x10200)
LCM = 65256801120000/10200
LCM = 6397725600
Thus, we can understand that the LCM of 524,800,945,969,170 is 6397725600.
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FAQs on LCM of 524, 800, 945, 969, 170
1. What is the LCM of 524, 800, 945, 969, 170?
Answer: LCM of 524, 800, 945, 969, 170 is 6397725600.
2. How to calculate the LCM of 524, 800, 945, 969, 170?
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 524, 800, 945, 969, 170.
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}.