LCM of 909, 286, 324, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 286, 324, 171 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, 286, 324, 171. So, keep reading to learn more.
Given numbers are 909,286,324,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,286,324,171 is 88911108.
Find LCM of 909,286,324,171 with Prime Factorization
| 2 | 909, 286, 324, 171 |
| 3 | 909, 143, 162, 171 |
| 3 | 303, 143, 54, 57 |
| 101, 143, 18, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 143 x 18 x 19 = 88911108
Therefore, the lowest common multiple of 909,286,324,171 is 88911108.
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 286 x 324 x 171 = 14403599496
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,286,324,171, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
286:2x 11x 13
324:2x 2x 3x 3x 3x 3
171:3x 3x 19
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 14403599496/(1x162)
LCM = 14403599496/162
LCM = 88911108
Thus, we can understand that the LCM of 909,286,324,171 is 88911108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 286, 324, 171
1. What is the LCM of 909, 286, 324, 171?
Answer: LCM of 909, 286, 324, 171 is 88911108.
2. How to calculate the LCM of 909, 286, 324, 171?
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, 286, 324, 171.
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}.