LCM of 844, 729, 486, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 729, 486, 967 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 844, 729, 486, 967. So, keep reading to learn more.
Given numbers are 844,729,486,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,729,486,967 is 594971892.
Find LCM of 844,729,486,967 with Prime Factorization
| 2 | 844, 729, 486, 967 |
| 3 | 422, 729, 243, 967 |
| 3 | 422, 81, 243, 967 |
| 3 | 422, 27, 81, 967 |
| 3 | 422, 9, 27, 967 |
| 3 | 422, 3, 9, 967 |
| 422, 1, 3, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 422 x 1 x 3 x 967 = 594971892
Therefore, the lowest common multiple of 844,729,486,967 is 594971892.
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.
844 x 729 x 486 x 967 = 289156339512
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.
844 : 1, 2, 4, 211, 422, 844
729 : 1, 3, 9, 27, 81, 243, 729
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,729,486,967, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
729:3x 3x 3x 3x 3x 3
486:2x 3x 3x 3x 3x 3
967:967
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 = 289156339512/(1x486)
LCM = 289156339512/486
LCM = 594971892
Thus, we can understand that the LCM of 844,729,486,967 is 594971892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 729, 486, 967
1. What is the LCM of 844, 729, 486, 967?
Answer: LCM of 844, 729, 486, 967 is 594971892.
2. How to calculate the LCM of 844, 729, 486, 967?
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 844, 729, 486, 967.
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}.