LCM of 200, 913, 538, 198, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 913, 538, 198, 361 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 200, 913, 538, 198, 361. So, keep reading to learn more.
Given numbers are 200,913,538,198,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,913,538,198,361 is 159588930600.
Find LCM of 200,913,538,198,361 with Prime Factorization
| 2 | 200, 913, 538, 198, 361 |
| 11 | 100, 913, 269, 99, 361 |
| 100, 83, 269, 9, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 100 x 83 x 269 x 9 x 361 = 159588930600
Therefore, the lowest common multiple of 200,913,538,198,361 is 159588930600.
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.
200 x 913 x 538 x 198 x 361 = 7021912946400
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
913 : 1, 11, 83, 913
538 : 1, 2, 269, 538
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,913,538,198,361, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
913:11x 83
538:2x 269
198:2x 3x 3x 11
361:19x 19
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 11 = 44
Therefore, the value for common factors is 44.
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 = 7021912946400/(1x44)
LCM = 7021912946400/44
LCM = 159588930600
Thus, we can understand that the LCM of 200,913,538,198,361 is 159588930600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 200, 913, 538, 198, 361
1. What is the LCM of 200, 913, 538, 198, 361?
Answer: LCM of 200, 913, 538, 198, 361 is 159588930600.
2. How to calculate the LCM of 200, 913, 538, 198, 361?
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 200, 913, 538, 198, 361.
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}.