LCM of 168, 466, 484, 878, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 466, 484, 878, 990 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 168, 466, 484, 878, 990. So, keep reading to learn more.
Given numbers are 168,466,484,878,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,466,484,878,990 is 31189352040.
Find LCM of 168,466,484,878,990 with Prime Factorization
| 2 | 168, 466, 484, 878, 990 |
| 2 | 84, 233, 242, 439, 495 |
| 3 | 42, 233, 121, 439, 495 |
| 11 | 14, 233, 121, 439, 165 |
| 14, 233, 11, 439, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 14 x 233 x 11 x 439 x 15 = 31189352040
Therefore, the lowest common multiple of 168,466,484,878,990 is 31189352040.
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.
168 x 466 x 484 x 878 x 990 = 32935955754240
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
466 : 1, 2, 233, 466
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
878 : 1, 2, 439, 878
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,466,484,878,990, is 2.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
466:2x 233
484:2x 2x 11x 11
878:2x 439
990:2x 3x 3x 5x 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 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 32935955754240/(2x528)
LCM = 32935955754240/1056
LCM = 31189352040
Thus, we can understand that the LCM of 168,466,484,878,990 is 31189352040.
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FAQs on LCM of 168, 466, 484, 878, 990
1. What is the LCM of 168, 466, 484, 878, 990?
Answer: LCM of 168, 466, 484, 878, 990 is 31189352040.
2. How to calculate the LCM of 168, 466, 484, 878, 990?
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 168, 466, 484, 878, 990.
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}.