LCM of 786, 175, 300, 789, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 175, 300, 789, 791 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 786, 175, 300, 789, 791. So, keep reading to learn more.
Given numbers are 786,175,300,789,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,175,300,789,791 is 8175696900.
Find LCM of 786,175,300,789,791 with Prime Factorization
| 2 | 786, 175, 300, 789, 791 |
| 3 | 393, 175, 150, 789, 791 |
| 5 | 131, 175, 50, 263, 791 |
| 5 | 131, 35, 10, 263, 791 |
| 7 | 131, 7, 2, 263, 791 |
| 131, 1, 2, 263, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 131 x 1 x 2 x 263 x 113 = 8175696900
Therefore, the lowest common multiple of 786,175,300,789,791 is 8175696900.
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.
786 x 175 x 300 x 789 x 791 = 25753445235000
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
175 : 1, 5, 7, 25, 35, 175
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
789 : 1, 3, 263, 789
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,175,300,789,791, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
175:5x 5x 7
300:2x 2x 3x 5x 5
789:3x 263
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7 = 3150
Therefore, the value for common factors is 3150.
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 = 25753445235000/(1x3150)
LCM = 25753445235000/3150
LCM = 8175696900
Thus, we can understand that the LCM of 786,175,300,789,791 is 8175696900.
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FAQs on LCM of 786, 175, 300, 789, 791
1. What is the LCM of 786, 175, 300, 789, 791?
Answer: LCM of 786, 175, 300, 789, 791 is 8175696900.
2. How to calculate the LCM of 786, 175, 300, 789, 791?
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 786, 175, 300, 789, 791.
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}.