LCM of 729, 678, 121, 802, 401
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 678, 121, 802, 401 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 729, 678, 121, 802, 401. So, keep reading to learn more.
Given numbers are 729,678,121,802,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,678,121,802,401 is 7994028834.
Find LCM of 729,678,121,802,401 with Prime Factorization
| 2 | 729, 678, 121, 802, 401 |
| 3 | 729, 339, 121, 401, 401 |
| 401 | 243, 113, 121, 401, 401 |
| 243, 113, 121, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 401 x 243 x 113 x 121 x 1 x 1 = 7994028834
Therefore, the lowest common multiple of 729,678,121,802,401 is 7994028834.
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.
729 x 678 x 121 x 802 x 401 = 19233633374604
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.
729 : 1, 3, 9, 27, 81, 243, 729
678 : 1, 2, 3, 6, 113, 226, 339, 678
121 : 1, 11, 121
802 : 1, 2, 401, 802
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,678,121,802,401, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
678:2x 3x 113
121:11x 11
802:2x 401
401:401
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 401 = 2406
Therefore, the value for common factors is 2406.
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 = 19233633374604/(1x2406)
LCM = 19233633374604/2406
LCM = 7994028834
Thus, we can understand that the LCM of 729,678,121,802,401 is 7994028834.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 678, 121, 802, 401
1. What is the LCM of 729, 678, 121, 802, 401?
Answer: LCM of 729, 678, 121, 802, 401 is 7994028834.
2. How to calculate the LCM of 729, 678, 121, 802, 401?
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 729, 678, 121, 802, 401.
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}.