LCM of 717, 225, 231, 672, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 225, 231, 672, 747 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 717, 225, 231, 672, 747. So, keep reading to learn more.
Given numbers are 717,225,231,672,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,225,231,672,747 is 10997632800.
Find LCM of 717,225,231,672,747 with Prime Factorization
| 3 | 717, 225, 231, 672, 747 |
| 3 | 239, 75, 77, 224, 249 |
| 7 | 239, 25, 77, 224, 83 |
| 239, 25, 11, 32, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 239 x 25 x 11 x 32 x 83 = 10997632800
Therefore, the lowest common multiple of 717,225,231,672,747 is 10997632800.
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.
717 x 225 x 231 x 672 x 747 = 18706973392800
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.
717 : 1, 3, 239, 717
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
231 : 1, 3, 7, 11, 21, 33, 77, 231
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
747 : 1, 3, 9, 83, 249, 747
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,225,231,672,747, is 3.
Now, the common factors can be found like this.
717:3x 239
225:3x 3x 5x 5
231:3x 7x 11
672:2x 2x 2x 2x 2x 3x 7
747:3x 3x 83
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 7 = 567
Therefore, the value for common factors is 567.
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 = 18706973392800/(3x567)
LCM = 18706973392800/1701
LCM = 10997632800
Thus, we can understand that the LCM of 717,225,231,672,747 is 10997632800.
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FAQs on LCM of 717, 225, 231, 672, 747
1. What is the LCM of 717, 225, 231, 672, 747?
Answer: LCM of 717, 225, 231, 672, 747 is 10997632800.
2. How to calculate the LCM of 717, 225, 231, 672, 747?
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 717, 225, 231, 672, 747.
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}.