LCM of 984, 998, 882, 988, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 998, 882, 988, 234 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 984, 998, 882, 988, 234. So, keep reading to learn more.
Given numbers are 984,998,882,988,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,998,882,988,234 is 17828299944.
Find LCM of 984,998,882,988,234 with Prime Factorization
| 2 | 984, 998, 882, 988, 234 |
| 2 | 492, 499, 441, 494, 117 |
| 3 | 246, 499, 441, 247, 117 |
| 3 | 82, 499, 147, 247, 39 |
| 13 | 82, 499, 49, 247, 13 |
| 82, 499, 49, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 82 x 499 x 49 x 19 x 1 = 17828299944
Therefore, the lowest common multiple of 984,998,882,988,234 is 17828299944.
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.
984 x 998 x 882 x 988 x 234 = 200247464971008
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
998 : 1, 2, 499, 998
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,998,882,988,234, is 2.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
998:2x 499
882:2x 3x 3x 7x 7
988:2x 2x 13x 19
234:2x 3x 3x 13
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 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 200247464971008/(2x5616)
LCM = 200247464971008/11232
LCM = 17828299944
Thus, we can understand that the LCM of 984,998,882,988,234 is 17828299944.
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FAQs on LCM of 984, 998, 882, 988, 234
1. What is the LCM of 984, 998, 882, 988, 234?
Answer: LCM of 984, 998, 882, 988, 234 is 17828299944.
2. How to calculate the LCM of 984, 998, 882, 988, 234?
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 984, 998, 882, 988, 234.
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}.