LCM of 677, 909, 611, 486, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 909, 611, 486, 807 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 677, 909, 611, 486, 807. So, keep reading to learn more.
Given numbers are 677,909,611,486,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,909,611,486,807 is 5461850416698.
Find LCM of 677,909,611,486,807 with Prime Factorization
| 3 | 677, 909, 611, 486, 807 |
| 3 | 677, 303, 611, 162, 269 |
| 677, 101, 611, 54, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 677 x 101 x 611 x 54 x 269 = 5461850416698
Therefore, the lowest common multiple of 677,909,611,486,807 is 5461850416698.
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.
677 x 909 x 611 x 486 x 807 = 147469961250846
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.
677 : 1, 677
909 : 1, 3, 9, 101, 303, 909
611 : 1, 13, 47, 611
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,909,611,486,807, is 1.
Now, the common factors can be found like this.
677:677
909:3x 3x 101
611:13x 47
486:2x 3x 3x 3x 3x 3
807:3x 269
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 3 = 27
Therefore, the value for common factors is 27.
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 = 147469961250846/(1x27)
LCM = 147469961250846/27
LCM = 5461850416698
Thus, we can understand that the LCM of 677,909,611,486,807 is 5461850416698.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 677, 909, 611, 486, 807
1. What is the LCM of 677, 909, 611, 486, 807?
Answer: LCM of 677, 909, 611, 486, 807 is 5461850416698.
2. How to calculate the LCM of 677, 909, 611, 486, 807?
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 677, 909, 611, 486, 807.
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}.