LCM of 177, 489, 326, 127, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 489, 326, 127, 774 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 177, 489, 326, 127, 774. So, keep reading to learn more.
Given numbers are 177,489,326,127,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,489,326,127,774 is 945331866.
Find LCM of 177,489,326,127,774 with Prime Factorization
| 2 | 177, 489, 326, 127, 774 |
| 3 | 177, 489, 163, 127, 387 |
| 163 | 59, 163, 163, 127, 129 |
| 59, 1, 1, 127, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 59 x 1 x 1 x 127 x 129 = 945331866
Therefore, the lowest common multiple of 177,489,326,127,774 is 945331866.
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.
177 x 489 x 326 x 127 x 774 = 2773603694844
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.
177 : 1, 3, 59, 177
489 : 1, 3, 163, 489
326 : 1, 2, 163, 326
127 : 1, 127
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,489,326,127,774, is 1.
Now, the common factors can be found like this.
177:3x 59
489:3x 163
326:2x 163
127:127
774:2x 3x 3x 43
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 163 = 2934
Therefore, the value for common factors is 2934.
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 = 2773603694844/(1x2934)
LCM = 2773603694844/2934
LCM = 945331866
Thus, we can understand that the LCM of 177,489,326,127,774 is 945331866.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 177, 489, 326, 127, 774
1. What is the LCM of 177, 489, 326, 127, 774?
Answer: LCM of 177, 489, 326, 127, 774 is 945331866.
2. How to calculate the LCM of 177, 489, 326, 127, 774?
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 177, 489, 326, 127, 774.
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}.