Find the LCM of 198, 901, 988, 582, 323 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, 901, 988, 582, 323. So, keep reading to learn more.
Given numbers are 198,901,988,582,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,901,988,582,323 is 8548475364.
Find LCM of 198,901,988,582,323 with Prime Factorization
2 | 198, 901, 988, 582, 323 |
3 | 99, 901, 494, 291, 323 |
17 | 33, 901, 494, 97, 323 |
19 | 33, 53, 494, 97, 19 |
33, 53, 26, 97, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 33 x 53 x 26 x 97 x 1 = 8548475364
Therefore, the lowest common multiple of 198,901,988,582,323 is 8548475364.
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 901 x 988 x 582 x 323 = 33133890510864
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
901 : 1, 17, 53, 901
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
582 : 1, 2, 3, 6, 97, 194, 291, 582
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,901,988,582,323, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
901:17x 53
988:2x 2x 13x 19
582:2x 3x 97
323:17x 19
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 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 33133890510864/(1x3876)
LCM = 33133890510864/3876
LCM = 8548475364
Thus, we can understand that the LCM of 198,901,988,582,323 is 8548475364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 198, 901, 988, 582, 323?
Answer: LCM of 198, 901, 988, 582, 323 is 8548475364.
2. How to calculate the LCM of 198, 901, 988, 582, 323?
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, 901, 988, 582, 323.
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}.