LCM of 111, 950, 198, 978, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 950, 198, 978, 981 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 111, 950, 198, 978, 981. So, keep reading to learn more.
Given numbers are 111,950,198,978,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,950,198,978,981 is 61826494950.
Find LCM of 111,950,198,978,981 with Prime Factorization
| 2 | 111, 950, 198, 978, 981 |
| 3 | 111, 475, 99, 489, 981 |
| 3 | 37, 475, 33, 163, 327 |
| 37, 475, 11, 163, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 475 x 11 x 163 x 109 = 61826494950
Therefore, the lowest common multiple of 111,950,198,978,981 is 61826494950.
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.
111 x 950 x 198 x 978 x 981 = 20031784363800
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.
111 : 1, 3, 37, 111
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
978 : 1, 2, 3, 6, 163, 326, 489, 978
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,950,198,978,981, is 1.
Now, the common factors can be found like this.
111:3x 37
950:2x 5x 5x 19
198:2x 3x 3x 11
978:2x 3x 163
981:3x 3x 109
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 20031784363800/(1x324)
LCM = 20031784363800/324
LCM = 61826494950
Thus, we can understand that the LCM of 111,950,198,978,981 is 61826494950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 950, 198, 978, 981
1. What is the LCM of 111, 950, 198, 978, 981?
Answer: LCM of 111, 950, 198, 978, 981 is 61826494950.
2. How to calculate the LCM of 111, 950, 198, 978, 981?
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 111, 950, 198, 978, 981.
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}.