LCM of 998, 470, 232, 996, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 470, 232, 996, 744 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 998, 470, 232, 996, 744. So, keep reading to learn more.
Given numbers are 998,470,232,996,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,470,232,996,744 is 209999100120.
Find LCM of 998,470,232,996,744 with Prime Factorization
| 2 | 998, 470, 232, 996, 744 |
| 2 | 499, 235, 116, 498, 372 |
| 2 | 499, 235, 58, 249, 186 |
| 3 | 499, 235, 29, 249, 93 |
| 499, 235, 29, 83, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 499 x 235 x 29 x 83 x 31 = 209999100120
Therefore, the lowest common multiple of 998,470,232,996,744 is 209999100120.
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.
998 x 470 x 232 x 996 x 744 = 80639654446080
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.
998 : 1, 2, 499, 998
470 : 1, 2, 5, 10, 47, 94, 235, 470
232 : 1, 2, 4, 8, 29, 58, 116, 232
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,470,232,996,744, is 2.
Now, the common factors can be found like this.
998:2x 499
470:2x 5x 47
232:2x 2x 2x 29
996:2x 2x 3x 83
744:2x 2x 2x 3x 31
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 80639654446080/(2x192)
LCM = 80639654446080/384
LCM = 209999100120
Thus, we can understand that the LCM of 998,470,232,996,744 is 209999100120.
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FAQs on LCM of 998, 470, 232, 996, 744
1. What is the LCM of 998, 470, 232, 996, 744?
Answer: LCM of 998, 470, 232, 996, 744 is 209999100120.
2. How to calculate the LCM of 998, 470, 232, 996, 744?
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 998, 470, 232, 996, 744.
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}.