LCM of 706, 162, 729, 271, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 162, 729, 271, 789 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 706, 162, 729, 271, 789. So, keep reading to learn more.
Given numbers are 706,162,729,271,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,162,729,271,789 is 36682360002.
Find LCM of 706,162,729,271,789 with Prime Factorization
| 2 | 706, 162, 729, 271, 789 |
| 3 | 353, 81, 729, 271, 789 |
| 3 | 353, 27, 243, 271, 263 |
| 3 | 353, 9, 81, 271, 263 |
| 3 | 353, 3, 27, 271, 263 |
| 353, 1, 9, 271, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 353 x 1 x 9 x 271 x 263 = 36682360002
Therefore, the lowest common multiple of 706,162,729,271,789 is 36682360002.
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.
706 x 162 x 729 x 271 x 789 = 17827626960972
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.
706 : 1, 2, 353, 706
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
729 : 1, 3, 9, 27, 81, 243, 729
271 : 1, 271
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,162,729,271,789, is 1.
Now, the common factors can be found like this.
706:2x 353
162:2x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
271:271
789:3x 263
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 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 17827626960972/(1x486)
LCM = 17827626960972/486
LCM = 36682360002
Thus, we can understand that the LCM of 706,162,729,271,789 is 36682360002.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 162, 729, 271, 789
1. What is the LCM of 706, 162, 729, 271, 789?
Answer: LCM of 706, 162, 729, 271, 789 is 36682360002.
2. How to calculate the LCM of 706, 162, 729, 271, 789?
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 706, 162, 729, 271, 789.
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}.