LCM of 729, 380, 759, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 380, 759, 138 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, 380, 759, 138. So, keep reading to learn more.
Given numbers are 729,380,759,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,380,759,138 is 70086060.
Find LCM of 729,380,759,138 with Prime Factorization
| 2 | 729, 380, 759, 138 |
| 3 | 729, 190, 759, 69 |
| 23 | 243, 190, 253, 23 |
| 243, 190, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 243 x 190 x 11 x 1 = 70086060
Therefore, the lowest common multiple of 729,380,759,138 is 70086060.
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 380 x 759 x 138 = 29015628840
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
759 : 1, 3, 11, 23, 33, 69, 253, 759
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,380,759,138, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
380:2x 2x 5x 19
759:3x 11x 23
138:2x 3x 23
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 29015628840/(1x414)
LCM = 29015628840/414
LCM = 70086060
Thus, we can understand that the LCM of 729,380,759,138 is 70086060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 380, 759, 138
1. What is the LCM of 729, 380, 759, 138?
Answer: LCM of 729, 380, 759, 138 is 70086060.
2. How to calculate the LCM of 729, 380, 759, 138?
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, 380, 759, 138.
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}.