LCM of 717, 899, 869, 270, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 899, 869, 270, 975 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, 899, 869, 270, 975. So, keep reading to learn more.
Given numbers are 717,899,869,270,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,899,869,270,975 is 3276834367950.
Find LCM of 717,899,869,270,975 with Prime Factorization
| 3 | 717, 899, 869, 270, 975 |
| 5 | 239, 899, 869, 90, 325 |
| 239, 899, 869, 18, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 239 x 899 x 869 x 18 x 65 = 3276834367950
Therefore, the lowest common multiple of 717,899,869,270,975 is 3276834367950.
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 899 x 869 x 270 x 975 = 147457546557750
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
899 : 1, 29, 31, 899
869 : 1, 11, 79, 869
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,899,869,270,975, is 1.
Now, the common factors can be found like this.
717:3x 239
899:29x 31
869:11x 79
270:2x 3x 3x 3x 5
975:3x 5x 5x 13
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 5 = 45
Therefore, the value for common factors is 45.
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 = 147457546557750/(1x45)
LCM = 147457546557750/45
LCM = 3276834367950
Thus, we can understand that the LCM of 717,899,869,270,975 is 3276834367950.
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FAQs on LCM of 717, 899, 869, 270, 975
1. What is the LCM of 717, 899, 869, 270, 975?
Answer: LCM of 717, 899, 869, 270, 975 is 3276834367950.
2. How to calculate the LCM of 717, 899, 869, 270, 975?
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, 899, 869, 270, 975.
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}.