LCM of 327, 612, 109, 489, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 612, 109, 489, 954 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 327, 612, 109, 489, 954. So, keep reading to learn more.
Given numbers are 327,612,109,489,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,612,109,489,954 is 576290412.
Find LCM of 327,612,109,489,954 with Prime Factorization
| 2 | 327, 612, 109, 489, 954 |
| 3 | 327, 306, 109, 489, 477 |
| 3 | 109, 102, 109, 163, 159 |
| 109 | 109, 34, 109, 163, 53 |
| 1, 34, 1, 163, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 109 x 1 x 34 x 1 x 163 x 53 = 576290412
Therefore, the lowest common multiple of 327,612,109,489,954 is 576290412.
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.
327 x 612 x 109 x 489 x 954 = 10176136095096
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.
327 : 1, 3, 109, 327
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
109 : 1, 109
489 : 1, 3, 163, 489
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,612,109,489,954, is 1.
Now, the common factors can be found like this.
327:3x 109
612:2x 2x 3x 3x 17
109:109
489:3x 163
954:2x 3x 3x 53
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 109 = 17658
Therefore, the value for common factors is 17658.
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 = 10176136095096/(1x17658)
LCM = 10176136095096/17658
LCM = 576290412
Thus, we can understand that the LCM of 327,612,109,489,954 is 576290412.
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FAQs on LCM of 327, 612, 109, 489, 954
1. What is the LCM of 327, 612, 109, 489, 954?
Answer: LCM of 327, 612, 109, 489, 954 is 576290412.
2. How to calculate the LCM of 327, 612, 109, 489, 954?
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 327, 612, 109, 489, 954.
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}.