LCM of 722, 576, 171, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 576, 171, 247 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 722, 576, 171, 247. So, keep reading to learn more.
Given numbers are 722,576,171,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,576,171,247 is 2703168.
Find LCM of 722,576,171,247 with Prime Factorization
| 2 | 722, 576, 171, 247 |
| 3 | 361, 288, 171, 247 |
| 3 | 361, 96, 57, 247 |
| 19 | 361, 32, 19, 247 |
| 1, 32, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 1 x 32 x 19 x 13 = 2703168
Therefore, the lowest common multiple of 722,576,171,247 is 2703168.
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.
722 x 576 x 171 x 247 = 17565185664
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.
722 : 1, 2, 19, 38, 361, 722
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
171 : 1, 3, 9, 19, 57, 171
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,576,171,247, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
576:2x 2x 2x 2x 2x 2x 3x 3
171:3x 3x 19
247:13x 19
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 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 17565185664/(1x6498)
LCM = 17565185664/6498
LCM = 2703168
Thus, we can understand that the LCM of 722,576,171,247 is 2703168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 576, 171, 247
1. What is the LCM of 722, 576, 171, 247?
Answer: LCM of 722, 576, 171, 247 is 2703168.
2. How to calculate the LCM of 722, 576, 171, 247?
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 722, 576, 171, 247.
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}.