LCM of 798, 498, 897, 978, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 498, 897, 978, 138 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 798, 498, 897, 978, 138. So, keep reading to learn more.
Given numbers are 798,498,897,978,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,498,897,978,138 is 3228046458.
Find LCM of 798,498,897,978,138 with Prime Factorization
| 2 | 798, 498, 897, 978, 138 |
| 3 | 399, 249, 897, 489, 69 |
| 23 | 133, 83, 299, 163, 23 |
| 133, 83, 13, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 133 x 83 x 13 x 163 x 1 = 3228046458
Therefore, the lowest common multiple of 798,498,897,978,138 is 3228046458.
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.
798 x 498 x 897 x 978 x 138 = 48110804410032
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
498 : 1, 2, 3, 6, 83, 166, 249, 498
897 : 1, 3, 13, 23, 39, 69, 299, 897
978 : 1, 2, 3, 6, 163, 326, 489, 978
138 : 1, 2, 3, 6, 23, 46, 69, 138
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,498,897,978,138, is 3.
Now, the common factors can be found like this.
798:2x 3x 7x 19
498:2x 3x 83
897:3x 13x 23
978:2x 3x 163
138:2x 3x 23
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 3x 23 = 4968
Therefore, the value for common factors is 4968.
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 = 48110804410032/(3x4968)
LCM = 48110804410032/14904
LCM = 3228046458
Thus, we can understand that the LCM of 798,498,897,978,138 is 3228046458.
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FAQs on LCM of 798, 498, 897, 978, 138
1. What is the LCM of 798, 498, 897, 978, 138?
Answer: LCM of 798, 498, 897, 978, 138 is 3228046458.
2. How to calculate the LCM of 798, 498, 897, 978, 138?
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 798, 498, 897, 978, 138.
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}.