LCM of 878, 754, 845, 174, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 878, 754, 845, 174, 522 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 878, 754, 845, 174, 522. So, keep reading to learn more.
Given numbers are 878,754,845,174,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,754,845,174,522 is 193638510.
Find LCM of 878,754,845,174,522 with Prime Factorization
| 2 | 878, 754, 845, 174, 522 |
| 3 | 439, 377, 845, 87, 261 |
| 13 | 439, 377, 845, 29, 87 |
| 29 | 439, 29, 65, 29, 87 |
| 439, 1, 65, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 439 x 1 x 65 x 1 x 3 = 193638510
Therefore, the lowest common multiple of 878,754,845,174,522 is 193638510.
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.
878 x 754 x 845 x 174 x 522 = 50809195915920
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.
878 : 1, 2, 439, 878
754 : 1, 2, 13, 26, 29, 58, 377, 754
845 : 1, 5, 13, 65, 169, 845
174 : 1, 2, 3, 6, 29, 58, 87, 174
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,754,845,174,522, is 1.
Now, the common factors can be found like this.
878:2x 439
754:2x 13x 29
845:5x 13x 13
174:2x 3x 29
522:2x 3x 3x 29
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 13x 29x 29 = 262392
Therefore, the value for common factors is 262392.
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 = 50809195915920/(1x262392)
LCM = 50809195915920/262392
LCM = 193638510
Thus, we can understand that the LCM of 878,754,845,174,522 is 193638510.
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FAQs on LCM of 878, 754, 845, 174, 522
1. What is the LCM of 878, 754, 845, 174, 522?
Answer: LCM of 878, 754, 845, 174, 522 is 193638510.
2. How to calculate the LCM of 878, 754, 845, 174, 522?
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 878, 754, 845, 174, 522.
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}.