LCM of 729, 969, 399, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 969, 399, 114 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, 969, 399, 114. So, keep reading to learn more.
Given numbers are 729,969,399,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,969,399,114 is 3296538.
Find LCM of 729,969,399,114 with Prime Factorization
| 3 | 729, 969, 399, 114 |
| 19 | 243, 323, 133, 38 |
| 243, 17, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 243 x 17 x 7 x 2 = 3296538
Therefore, the lowest common multiple of 729,969,399,114 is 3296538.
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 969 x 399 x 114 = 32131355886
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
399 : 1, 3, 7, 19, 21, 57, 133, 399
114 : 1, 2, 3, 6, 19, 38, 57, 114
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,969,399,114, is 3.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
969:3x 17x 19
399:3x 7x 19
114:2x 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.
3x 3x 19x 19 = 3249
Therefore, the value for common factors is 3249.
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 = 32131355886/(3x3249)
LCM = 32131355886/9747
LCM = 3296538
Thus, we can understand that the LCM of 729,969,399,114 is 3296538.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 969, 399, 114
1. What is the LCM of 729, 969, 399, 114?
Answer: LCM of 729, 969, 399, 114 is 3296538.
2. How to calculate the LCM of 729, 969, 399, 114?
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, 969, 399, 114.
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}.