LCM of 198, 955, 975, 935, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 955, 975, 935, 871 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 198, 955, 975, 935, 871. So, keep reading to learn more.
Given numbers are 198,955,975,935,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,955,975,935,871 is 13999278150.
Find LCM of 198,955,975,935,871 with Prime Factorization
| 3 | 198, 955, 975, 935, 871 |
| 5 | 66, 955, 325, 935, 871 |
| 11 | 66, 191, 65, 187, 871 |
| 13 | 6, 191, 65, 17, 871 |
| 6, 191, 5, 17, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 6 x 191 x 5 x 17 x 67 = 13999278150
Therefore, the lowest common multiple of 198,955,975,935,871 is 13999278150.
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.
198 x 955 x 975 x 935 x 871 = 150142258158750
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
955 : 1, 5, 191, 955
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
935 : 1, 5, 11, 17, 55, 85, 187, 935
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,955,975,935,871, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
955:5x 191
975:3x 5x 5x 13
935:5x 11x 17
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11x 13 = 10725
Therefore, the value for common factors is 10725.
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 = 150142258158750/(1x10725)
LCM = 150142258158750/10725
LCM = 13999278150
Thus, we can understand that the LCM of 198,955,975,935,871 is 13999278150.
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FAQs on LCM of 198, 955, 975, 935, 871
1. What is the LCM of 198, 955, 975, 935, 871?
Answer: LCM of 198, 955, 975, 935, 871 is 13999278150.
2. How to calculate the LCM of 198, 955, 975, 935, 871?
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 198, 955, 975, 935, 871.
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}.