LCM of 691, 687, 177, 840, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 687, 177, 840, 225 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 691, 687, 177, 840, 225. So, keep reading to learn more.
Given numbers are 691,687,177,840,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,687,177,840,225 is 117634872600.
Find LCM of 691,687,177,840,225 with Prime Factorization
| 3 | 691, 687, 177, 840, 225 |
| 5 | 691, 229, 59, 280, 75 |
| 691, 229, 59, 56, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 691 x 229 x 59 x 56 x 15 = 117634872600
Therefore, the lowest common multiple of 691,687,177,840,225 is 117634872600.
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.
691 x 687 x 177 x 840 x 225 = 15880707801000
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.
691 : 1, 691
687 : 1, 3, 229, 687
177 : 1, 3, 59, 177
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,687,177,840,225, is 1.
Now, the common factors can be found like this.
691:691
687:3x 229
177:3x 59
840:2x 2x 2x 3x 5x 7
225:3x 3x 5x 5
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 5 = 135
Therefore, the value for common factors is 135.
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 = 15880707801000/(1x135)
LCM = 15880707801000/135
LCM = 117634872600
Thus, we can understand that the LCM of 691,687,177,840,225 is 117634872600.
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FAQs on LCM of 691, 687, 177, 840, 225
1. What is the LCM of 691, 687, 177, 840, 225?
Answer: LCM of 691, 687, 177, 840, 225 is 117634872600.
2. How to calculate the LCM of 691, 687, 177, 840, 225?
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 691, 687, 177, 840, 225.
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}.