LCM of 835, 747, 900, 415, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 747, 900, 415, 167 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 835, 747, 900, 415, 167. So, keep reading to learn more.
Given numbers are 835,747,900,415,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,747,900,415,167 is 12474900.
Find LCM of 835,747,900,415,167 with Prime Factorization
| 3 | 835, 747, 900, 415, 167 |
| 3 | 835, 249, 300, 415, 167 |
| 5 | 835, 83, 100, 415, 167 |
| 83 | 167, 83, 20, 83, 167 |
| 167 | 167, 1, 20, 1, 167 |
| 1, 1, 20, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 83 x 167 x 1 x 1 x 20 x 1 x 1 = 12474900
Therefore, the lowest common multiple of 835,747,900,415,167 is 12474900.
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.
835 x 747 x 900 x 415 x 167 = 38905782502500
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.
835 : 1, 5, 167, 835
747 : 1, 3, 9, 83, 249, 747
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
415 : 1, 5, 83, 415
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,747,900,415,167, is 1.
Now, the common factors can be found like this.
835:5x 167
747:3x 3x 83
900:2x 2x 3x 3x 5x 5
415:5x 83
167:167
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 83x 167 = 3118725
Therefore, the value for common factors is 3118725.
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 = 38905782502500/(1x3118725)
LCM = 38905782502500/3118725
LCM = 12474900
Thus, we can understand that the LCM of 835,747,900,415,167 is 12474900.
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FAQs on LCM of 835, 747, 900, 415, 167
1. What is the LCM of 835, 747, 900, 415, 167?
Answer: LCM of 835, 747, 900, 415, 167 is 12474900.
2. How to calculate the LCM of 835, 747, 900, 415, 167?
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 835, 747, 900, 415, 167.
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}.