LCM of 871, 192, 549, 754, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 192, 549, 754, 530 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 871, 192, 549, 754, 530. So, keep reading to learn more.
Given numbers are 871,192,549,754,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,192,549,754,530 is 235187559360.
Find LCM of 871,192,549,754,530 with Prime Factorization
| 2 | 871, 192, 549, 754, 530 |
| 3 | 871, 96, 549, 377, 265 |
| 13 | 871, 32, 183, 377, 265 |
| 67, 32, 183, 29, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 67 x 32 x 183 x 29 x 265 = 235187559360
Therefore, the lowest common multiple of 871,192,549,754,530 is 235187559360.
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.
871 x 192 x 549 x 754 x 530 = 36689259260160
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.
871 : 1, 13, 67, 871
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
549 : 1, 3, 9, 61, 183, 549
754 : 1, 2, 13, 26, 29, 58, 377, 754
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,192,549,754,530, is 1.
Now, the common factors can be found like this.
871:13x 67
192:2x 2x 2x 2x 2x 2x 3
549:3x 3x 61
754:2x 13x 29
530:2x 5x 53
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 13 = 156
Therefore, the value for common factors is 156.
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 = 36689259260160/(1x156)
LCM = 36689259260160/156
LCM = 235187559360
Thus, we can understand that the LCM of 871,192,549,754,530 is 235187559360.
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FAQs on LCM of 871, 192, 549, 754, 530
1. What is the LCM of 871, 192, 549, 754, 530?
Answer: LCM of 871, 192, 549, 754, 530 is 235187559360.
2. How to calculate the LCM of 871, 192, 549, 754, 530?
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 871, 192, 549, 754, 530.
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}.