LCM of 998, 499, 902, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 499, 902, 262 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, 499, 902, 262. So, keep reading to learn more.
Given numbers are 998,499,902,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,499,902,262 is 58962838.
Find LCM of 998,499,902,262 with Prime Factorization
| 2 | 998, 499, 902, 262 |
| 499 | 499, 499, 451, 131 |
| 1, 1, 451, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 1 x 1 x 451 x 131 = 58962838
Therefore, the lowest common multiple of 998,499,902,262 is 58962838.
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 499 x 902 x 262 = 117689824648
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
499 : 1, 499
902 : 1, 2, 11, 22, 41, 82, 451, 902
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,499,902,262, is 1.
Now, the common factors can be found like this.
998:2x 499
499:499
902:2x 11x 41
262:2x 131
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 499 = 1996
Therefore, the value for common factors is 1996.
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 = 117689824648/(1x1996)
LCM = 117689824648/1996
LCM = 58962838
Thus, we can understand that the LCM of 998,499,902,262 is 58962838.
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FAQs on LCM of 998, 499, 902, 262
1. What is the LCM of 998, 499, 902, 262?
Answer: LCM of 998, 499, 902, 262 is 58962838.
2. How to calculate the LCM of 998, 499, 902, 262?
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, 499, 902, 262.
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}.