LCM of 546, 638, 729, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 638, 729, 216 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 546, 638, 729, 216. So, keep reading to learn more.
Given numbers are 546,638,729,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,638,729,216 is 169297128.
Find LCM of 546,638,729,216 with Prime Factorization
| 2 | 546, 638, 729, 216 |
| 3 | 273, 319, 729, 108 |
| 3 | 91, 319, 243, 36 |
| 3 | 91, 319, 81, 12 |
| 91, 319, 27, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 91 x 319 x 27 x 4 = 169297128
Therefore, the lowest common multiple of 546,638,729,216 is 169297128.
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.
546 x 638 x 729 x 216 = 54852269472
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
638 : 1, 2, 11, 22, 29, 58, 319, 638
729 : 1, 3, 9, 27, 81, 243, 729
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,638,729,216, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
638:2x 11x 29
729:3x 3x 3x 3x 3x 3
216:2x 2x 2x 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.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 54852269472/(1x324)
LCM = 54852269472/324
LCM = 169297128
Thus, we can understand that the LCM of 546,638,729,216 is 169297128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 638, 729, 216
1. What is the LCM of 546, 638, 729, 216?
Answer: LCM of 546, 638, 729, 216 is 169297128.
2. How to calculate the LCM of 546, 638, 729, 216?
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 546, 638, 729, 216.
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}.