LCM of 785, 135, 823, 471, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 135, 823, 471, 917 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 785, 135, 823, 471, 917. So, keep reading to learn more.
Given numbers are 785,135,823,471,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,135,823,471,917 is 15995675745.
Find LCM of 785,135,823,471,917 with Prime Factorization
| 3 | 785, 135, 823, 471, 917 |
| 5 | 785, 45, 823, 157, 917 |
| 157 | 157, 9, 823, 157, 917 |
| 1, 9, 823, 1, 917 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 157 x 1 x 9 x 823 x 1 x 917 = 15995675745
Therefore, the lowest common multiple of 785,135,823,471,917 is 15995675745.
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.
785 x 135 x 823 x 471 x 917 = 37669816379475
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.
785 : 1, 5, 157, 785
135 : 1, 3, 5, 9, 15, 27, 45, 135
823 : 1, 823
471 : 1, 3, 157, 471
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,135,823,471,917, is 1.
Now, the common factors can be found like this.
785:5x 157
135:3x 3x 3x 5
823:823
471:3x 157
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 157 = 2355
Therefore, the value for common factors is 2355.
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 = 37669816379475/(1x2355)
LCM = 37669816379475/2355
LCM = 15995675745
Thus, we can understand that the LCM of 785,135,823,471,917 is 15995675745.
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FAQs on LCM of 785, 135, 823, 471, 917
1. What is the LCM of 785, 135, 823, 471, 917?
Answer: LCM of 785, 135, 823, 471, 917 is 15995675745.
2. How to calculate the LCM of 785, 135, 823, 471, 917?
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 785, 135, 823, 471, 917.
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}.