LCM of 561, 403, 972, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 403, 972, 729 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 561, 403, 972, 729. So, keep reading to learn more.
Given numbers are 561,403,972,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,403,972,729 is 219752676.
Find LCM of 561,403,972,729 with Prime Factorization
| 3 | 561, 403, 972, 729 |
| 3 | 187, 403, 324, 243 |
| 3 | 187, 403, 108, 81 |
| 3 | 187, 403, 36, 27 |
| 3 | 187, 403, 12, 9 |
| 187, 403, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 3 x 187 x 403 x 4 x 3 = 219752676
Therefore, the lowest common multiple of 561,403,972,729 is 219752676.
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.
561 x 403 x 972 x 729 = 160199700804
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
403 : 1, 13, 31, 403
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,403,972,729, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
403:13x 31
972:2x 2x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
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 3x 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 160199700804/(1x729)
LCM = 160199700804/729
LCM = 219752676
Thus, we can understand that the LCM of 561,403,972,729 is 219752676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 403, 972, 729
1. What is the LCM of 561, 403, 972, 729?
Answer: LCM of 561, 403, 972, 729 is 219752676.
2. How to calculate the LCM of 561, 403, 972, 729?
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 561, 403, 972, 729.
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}.