LCM of 144, 324, 489, 254, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 324, 489, 254, 327 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 144, 324, 489, 254, 327. So, keep reading to learn more.
Given numbers are 144,324,489,254,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,324,489,254,327 is 2924306064.
Find LCM of 144,324,489,254,327 with Prime Factorization
| 2 | 144, 324, 489, 254, 327 |
| 2 | 72, 162, 489, 127, 327 |
| 3 | 36, 81, 489, 127, 327 |
| 3 | 12, 27, 163, 127, 109 |
| 4, 9, 163, 127, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 4 x 9 x 163 x 127 x 109 = 2924306064
Therefore, the lowest common multiple of 144,324,489,254,327 is 2924306064.
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.
144 x 324 x 489 x 254 x 327 = 1894950329472
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
489 : 1, 3, 163, 489
254 : 1, 2, 127, 254
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,324,489,254,327, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
324:2x 2x 3x 3x 3x 3
489:3x 163
254:2x 127
327:3x 109
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 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 1894950329472/(1x648)
LCM = 1894950329472/648
LCM = 2924306064
Thus, we can understand that the LCM of 144,324,489,254,327 is 2924306064.
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FAQs on LCM of 144, 324, 489, 254, 327
1. What is the LCM of 144, 324, 489, 254, 327?
Answer: LCM of 144, 324, 489, 254, 327 is 2924306064.
2. How to calculate the LCM of 144, 324, 489, 254, 327?
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 144, 324, 489, 254, 327.
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}.