LCM of 268, 527, 198, 264, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 527, 198, 264, 187 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 268, 527, 198, 264, 187. So, keep reading to learn more.
Given numbers are 268,527,198,264,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,527,198,264,187 is 27964728.
Find LCM of 268,527,198,264,187 with Prime Factorization
| 2 | 268, 527, 198, 264, 187 |
| 2 | 134, 527, 99, 132, 187 |
| 3 | 67, 527, 99, 66, 187 |
| 11 | 67, 527, 33, 22, 187 |
| 17 | 67, 527, 3, 2, 17 |
| 67, 31, 3, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 67 x 31 x 3 x 2 x 1 = 27964728
Therefore, the lowest common multiple of 268,527,198,264,187 is 27964728.
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.
268 x 527 x 198 x 264 x 187 = 1380562691904
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.
268 : 1, 2, 4, 67, 134, 268
527 : 1, 17, 31, 527
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,527,198,264,187, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
527:17x 31
198:2x 3x 3x 11
264:2x 2x 2x 3x 11
187:11x 17
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 11x 11x 17 = 49368
Therefore, the value for common factors is 49368.
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 = 1380562691904/(1x49368)
LCM = 1380562691904/49368
LCM = 27964728
Thus, we can understand that the LCM of 268,527,198,264,187 is 27964728.
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FAQs on LCM of 268, 527, 198, 264, 187
1. What is the LCM of 268, 527, 198, 264, 187?
Answer: LCM of 268, 527, 198, 264, 187 is 27964728.
2. How to calculate the LCM of 268, 527, 198, 264, 187?
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 268, 527, 198, 264, 187.
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}.