LCM of 198, 576, 817, 454, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 576, 817, 454, 878 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 198, 576, 817, 454, 878. So, keep reading to learn more.
Given numbers are 198,576,817,454,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,576,817,454,878 is 515854950336.
Find LCM of 198,576,817,454,878 with Prime Factorization
| 2 | 198, 576, 817, 454, 878 |
| 3 | 99, 288, 817, 227, 439 |
| 3 | 33, 96, 817, 227, 439 |
| 11, 32, 817, 227, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 32 x 817 x 227 x 439 = 515854950336
Therefore, the lowest common multiple of 198,576,817,454,878 is 515854950336.
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.
198 x 576 x 817 x 454 x 878 = 37141556424192
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
817 : 1, 19, 43, 817
454 : 1, 2, 227, 454
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,576,817,454,878, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
576:2x 2x 2x 2x 2x 2x 3x 3
817:19x 43
454:2x 227
878:2x 439
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 3 = 72
Therefore, the value for common factors is 72.
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 = 37141556424192/(1x72)
LCM = 37141556424192/72
LCM = 515854950336
Thus, we can understand that the LCM of 198,576,817,454,878 is 515854950336.
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FAQs on LCM of 198, 576, 817, 454, 878
1. What is the LCM of 198, 576, 817, 454, 878?
Answer: LCM of 198, 576, 817, 454, 878 is 515854950336.
2. How to calculate the LCM of 198, 576, 817, 454, 878?
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 198, 576, 817, 454, 878.
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}.