LCM of 417, 135, 417, 725, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 135, 417, 725, 145 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 417, 135, 417, 725, 145. So, keep reading to learn more.
Given numbers are 417,135,417,725,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,135,417,725,145 is 2720925.
Find LCM of 417,135,417,725,145 with Prime Factorization
| 3 | 417, 135, 417, 725, 145 |
| 5 | 139, 45, 139, 725, 145 |
| 29 | 139, 9, 139, 29, 145 |
| 139 | 139, 9, 139, 1, 5 |
| 1, 9, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 139 x 1 x 9 x 1 x 1 x 5 = 2720925
Therefore, the lowest common multiple of 417,135,417,725,145 is 2720925.
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.
417 x 135 x 417 x 725 x 145 = 2467810951875
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.
417 : 1, 3, 139, 417
135 : 1, 3, 5, 9, 15, 27, 45, 135
417 : 1, 3, 139, 417
725 : 1, 5, 25, 29, 145, 725
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,135,417,725,145, is 1.
Now, the common factors can be found like this.
417:3x 139
135:3x 3x 3x 5
417:3x 139
725:5x 5x 29
145:5x 29
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 5x 5x 29x 139 = 906975
Therefore, the value for common factors is 906975.
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 = 2467810951875/(1x906975)
LCM = 2467810951875/906975
LCM = 2720925
Thus, we can understand that the LCM of 417,135,417,725,145 is 2720925.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 135, 417, 725, 145
1. What is the LCM of 417, 135, 417, 725, 145?
Answer: LCM of 417, 135, 417, 725, 145 is 2720925.
2. How to calculate the LCM of 417, 135, 417, 725, 145?
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 417, 135, 417, 725, 145.
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}.