LCM of 492, 454, 986, 561, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 454, 986, 561, 198 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 492, 454, 986, 561, 198. So, keep reading to learn more.
Given numbers are 492,454,986,561,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,454,986,561,198 is 1816986996.
Find LCM of 492,454,986,561,198 with Prime Factorization
| 2 | 492, 454, 986, 561, 198 |
| 3 | 246, 227, 493, 561, 99 |
| 11 | 82, 227, 493, 187, 33 |
| 17 | 82, 227, 493, 17, 3 |
| 82, 227, 29, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 82 x 227 x 29 x 1 x 3 = 1816986996
Therefore, the lowest common multiple of 492,454,986,561,198 is 1816986996.
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.
492 x 454 x 986 x 561 x 198 = 24463912914144
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
454 : 1, 2, 227, 454
986 : 1, 2, 17, 29, 34, 58, 493, 986
561 : 1, 3, 11, 17, 33, 51, 187, 561
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,454,986,561,198, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
454:2x 227
986:2x 17x 29
561:3x 11x 17
198:2x 3x 3x 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 3x 3x 11x 17 = 13464
Therefore, the value for common factors is 13464.
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 = 24463912914144/(1x13464)
LCM = 24463912914144/13464
LCM = 1816986996
Thus, we can understand that the LCM of 492,454,986,561,198 is 1816986996.
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FAQs on LCM of 492, 454, 986, 561, 198
1. What is the LCM of 492, 454, 986, 561, 198?
Answer: LCM of 492, 454, 986, 561, 198 is 1816986996.
2. How to calculate the LCM of 492, 454, 986, 561, 198?
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 492, 454, 986, 561, 198.
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}.