LCM of 967, 644, 317, 634, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 644, 317, 634, 605 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 967, 644, 317, 634, 605. So, keep reading to learn more.
Given numbers are 967,644,317,634,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,644,317,634,605 is 119433725180.
Find LCM of 967,644,317,634,605 with Prime Factorization
| 2 | 967, 644, 317, 634, 605 |
| 317 | 967, 322, 317, 317, 605 |
| 967, 322, 1, 1, 605 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 967 x 322 x 1 x 1 x 605 = 119433725180
Therefore, the lowest common multiple of 967,644,317,634,605 is 119433725180.
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.
967 x 644 x 317 x 634 x 605 = 75720981764120
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.
967 : 1, 967
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
317 : 1, 317
634 : 1, 2, 317, 634
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,644,317,634,605, is 1.
Now, the common factors can be found like this.
967:967
644:2x 2x 7x 23
317:317
634:2x 317
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 317 = 634
Therefore, the value for common factors is 634.
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 = 75720981764120/(1x634)
LCM = 75720981764120/634
LCM = 119433725180
Thus, we can understand that the LCM of 967,644,317,634,605 is 119433725180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 967, 644, 317, 634, 605
1. What is the LCM of 967, 644, 317, 634, 605?
Answer: LCM of 967, 644, 317, 634, 605 is 119433725180.
2. How to calculate the LCM of 967, 644, 317, 634, 605?
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 967, 644, 317, 634, 605.
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}.