LCM of 209, 627, 729, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 627, 729, 409 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, 729, 409. So, keep reading to learn more.
Given numbers are 209,627,729,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,627,729,409 is 62315649.
Find LCM of 209,627,729,409 with Prime Factorization
| 3 | 209, 627, 729, 409 |
| 11 | 209, 209, 243, 409 |
| 19 | 19, 19, 243, 409 |
| 1, 1, 243, 409 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 1 x 1 x 243 x 409 = 62315649
Therefore, the lowest common multiple of 209,627,729,409 is 62315649.
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 729 x 409 = 39071911923
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
729 : 1, 3, 9, 27, 81, 243, 729
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,627,729,409, is 1.
Now, the common factors can be found like this.
209:11x 19
627:3x 11x 19
729:3x 3x 3x 3x 3x 3
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 39071911923/(1x627)
LCM = 39071911923/627
LCM = 62315649
Thus, we can understand that the LCM of 209,627,729,409 is 62315649.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 627, 729, 409
1. What is the LCM of 209, 627, 729, 409?
Answer: LCM of 209, 627, 729, 409 is 62315649.
2. How to calculate the LCM of 209, 627, 729, 409?
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, 729, 409.
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}.