LCM of 273, 729, 949, 351, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 729, 949, 351, 387 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 273, 729, 949, 351, 387. So, keep reading to learn more.
Given numbers are 273,729,949,351,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,729,949,351,387 is 208238121.
Find LCM of 273,729,949,351,387 with Prime Factorization
| 3 | 273, 729, 949, 351, 387 |
| 3 | 91, 243, 949, 117, 129 |
| 3 | 91, 81, 949, 39, 43 |
| 13 | 91, 27, 949, 13, 43 |
| 7, 27, 73, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 13 x 7 x 27 x 73 x 1 x 43 = 208238121
Therefore, the lowest common multiple of 273,729,949,351,387 is 208238121.
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.
273 x 729 x 949 x 351 x 387 = 25655144745321
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
729 : 1, 3, 9, 27, 81, 243, 729
949 : 1, 13, 73, 949
351 : 1, 3, 9, 13, 27, 39, 117, 351
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,729,949,351,387, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
729:3x 3x 3x 3x 3x 3
949:13x 73
351:3x 3x 3x 13
387:3x 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.
3x 3x 3x 3x 3x 3x 13x 13 = 123201
Therefore, the value for common factors is 123201.
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 = 25655144745321/(1x123201)
LCM = 25655144745321/123201
LCM = 208238121
Thus, we can understand that the LCM of 273,729,949,351,387 is 208238121.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 273, 729, 949, 351, 387
1. What is the LCM of 273, 729, 949, 351, 387?
Answer: LCM of 273, 729, 949, 351, 387 is 208238121.
2. How to calculate the LCM of 273, 729, 949, 351, 387?
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 273, 729, 949, 351, 387.
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}.