LCM of 541, 489, 108, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 541, 489, 108, 999 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 541, 489, 108, 999. So, keep reading to learn more.
Given numbers are 541,489,108,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 541,489,108,999 is 352379268.
Find LCM of 541,489,108,999 with Prime Factorization
| 3 | 541, 489, 108, 999 |
| 3 | 541, 163, 36, 333 |
| 3 | 541, 163, 12, 111 |
| 541, 163, 4, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 541 x 163 x 4 x 37 = 352379268
Therefore, the lowest common multiple of 541,489,108,999 is 352379268.
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.
541 x 489 x 108 x 999 = 28542720708
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.
541 : 1, 541
489 : 1, 3, 163, 489
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,489,108,999, is 1.
Now, the common factors can be found like this.
541:541
489:3x 163
108:2x 2x 3x 3x 3
999:3x 3x 3x 37
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 3 = 81
Therefore, the value for common factors is 81.
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 = 28542720708/(1x81)
LCM = 28542720708/81
LCM = 352379268
Thus, we can understand that the LCM of 541,489,108,999 is 352379268.
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FAQs on LCM of 541, 489, 108, 999
1. What is the LCM of 541, 489, 108, 999?
Answer: LCM of 541, 489, 108, 999 is 352379268.
2. How to calculate the LCM of 541, 489, 108, 999?
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 541, 489, 108, 999.
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}.