LCM of 263, 495, 715, 198, 939
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 495, 715, 198, 939 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 263, 495, 715, 198, 939. So, keep reading to learn more.
Given numbers are 263,495,715,198,939
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,495,715,198,939 is 1059445530.
Find LCM of 263,495,715,198,939 with Prime Factorization
| 3 | 263, 495, 715, 198, 939 |
| 3 | 263, 165, 715, 66, 313 |
| 5 | 263, 55, 715, 22, 313 |
| 11 | 263, 11, 143, 22, 313 |
| 263, 1, 13, 2, 313 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 263 x 1 x 13 x 2 x 313 = 1059445530
Therefore, the lowest common multiple of 263,495,715,198,939 is 1059445530.
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.
263 x 495 x 715 x 198 x 939 = 17306042732550
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.
263 : 1, 263
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
715 : 1, 5, 11, 13, 55, 65, 143, 715
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
939 : 1, 3, 313, 939
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,495,715,198,939, is 1.
Now, the common factors can be found like this.
263:263
495:3x 3x 5x 11
715:5x 11x 13
198:2x 3x 3x 11
939:3x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 11 = 16335
Therefore, the value for common factors is 16335.
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 = 17306042732550/(1x16335)
LCM = 17306042732550/16335
LCM = 1059445530
Thus, we can understand that the LCM of 263,495,715,198,939 is 1059445530.
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FAQs on LCM of 263, 495, 715, 198, 939
1. What is the LCM of 263, 495, 715, 198, 939?
Answer: LCM of 263, 495, 715, 198, 939 is 1059445530.
2. How to calculate the LCM of 263, 495, 715, 198, 939?
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 263, 495, 715, 198, 939.
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}.