LCM of 489, 744, 729, 418, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 744, 729, 418, 242 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 489, 744, 729, 418, 242. So, keep reading to learn more.
Given numbers are 489,744,729,418,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,744,729,418,242 is 67749451704.
Find LCM of 489,744,729,418,242 with Prime Factorization
| 2 | 489, 744, 729, 418, 242 |
| 3 | 489, 372, 729, 209, 121 |
| 11 | 163, 124, 243, 209, 121 |
| 163, 124, 243, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 163 x 124 x 243 x 19 x 11 = 67749451704
Therefore, the lowest common multiple of 489,744,729,418,242 is 67749451704.
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.
489 x 744 x 729 x 418 x 242 = 26828782874784
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.
489 : 1, 3, 163, 489
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
729 : 1, 3, 9, 27, 81, 243, 729
418 : 1, 2, 11, 19, 22, 38, 209, 418
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,744,729,418,242, is 1.
Now, the common factors can be found like this.
489:3x 163
744:2x 2x 2x 3x 31
729:3x 3x 3x 3x 3x 3
418:2x 11x 19
242:2x 11x 11
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 11 = 396
Therefore, the value for common factors is 396.
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 = 26828782874784/(1x396)
LCM = 26828782874784/396
LCM = 67749451704
Thus, we can understand that the LCM of 489,744,729,418,242 is 67749451704.
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FAQs on LCM of 489, 744, 729, 418, 242
1. What is the LCM of 489, 744, 729, 418, 242?
Answer: LCM of 489, 744, 729, 418, 242 is 67749451704.
2. How to calculate the LCM of 489, 744, 729, 418, 242?
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 489, 744, 729, 418, 242.
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}.