LCM of 909, 213, 411, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 213, 411, 117 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 909, 213, 411, 117. So, keep reading to learn more.
Given numbers are 909,213,411,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,213,411,117 is 114943959.
Find LCM of 909,213,411,117 with Prime Factorization
| 3 | 909, 213, 411, 117 |
| 3 | 303, 71, 137, 39 |
| 101, 71, 137, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 101 x 71 x 137 x 13 = 114943959
Therefore, the lowest common multiple of 909,213,411,117 is 114943959.
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.
909 x 213 x 411 x 117 = 9310460679
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.
909 : 1, 3, 9, 101, 303, 909
213 : 1, 3, 71, 213
411 : 1, 3, 137, 411
117 : 1, 3, 9, 13, 39, 117
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,213,411,117, is 3.
Now, the common factors can be found like this.
909:3x 3x 101
213:3x 71
411:3x 137
117:3x 3x 13
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 = 9310460679/(3x27)
LCM = 9310460679/81
LCM = 114943959
Thus, we can understand that the LCM of 909,213,411,117 is 114943959.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 909, 213, 411, 117
1. What is the LCM of 909, 213, 411, 117?
Answer: LCM of 909, 213, 411, 117 is 114943959.
2. How to calculate the LCM of 909, 213, 411, 117?
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 909, 213, 411, 117.
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}.