LCM of 209, 627, 412, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 627, 412, 932 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 209, 627, 412, 932. So, keep reading to learn more.
Given numbers are 209,627,412,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,627,412,932 is 60189492.
Find LCM of 209,627,412,932 with Prime Factorization
| 2 | 209, 627, 412, 932 |
| 2 | 209, 627, 206, 466 |
| 11 | 209, 627, 103, 233 |
| 19 | 19, 57, 103, 233 |
| 1, 3, 103, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 3 x 103 x 233 = 60189492
Therefore, the lowest common multiple of 209,627,412,932 is 60189492.
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.
209 x 627 x 412 x 932 = 50318415312
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.
209 : 1, 11, 19, 209
627 : 1, 3, 11, 19, 33, 57, 209, 627
412 : 1, 2, 4, 103, 206, 412
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,627,412,932, is 1.
Now, the common factors can be found like this.
209:11x 19
627:3x 11x 19
412:2x 2x 103
932:2x 2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 50318415312/(1x836)
LCM = 50318415312/836
LCM = 60189492
Thus, we can understand that the LCM of 209,627,412,932 is 60189492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 627, 412, 932
1. What is the LCM of 209, 627, 412, 932?
Answer: LCM of 209, 627, 412, 932 is 60189492.
2. How to calculate the LCM of 209, 627, 412, 932?
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 209, 627, 412, 932.
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}.