LCM of 810, 240, 452, 678, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 240, 452, 678, 302 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 810, 240, 452, 678, 302. So, keep reading to learn more.
Given numbers are 810,240,452,678,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,240,452,678,302 is 110568240.
Find LCM of 810,240,452,678,302 with Prime Factorization
| 2 | 810, 240, 452, 678, 302 |
| 2 | 405, 120, 226, 339, 151 |
| 3 | 405, 60, 113, 339, 151 |
| 5 | 135, 20, 113, 113, 151 |
| 113 | 27, 4, 113, 113, 151 |
| 27, 4, 1, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 27 x 4 x 1 x 1 x 151 = 110568240
Therefore, the lowest common multiple of 810,240,452,678,302 is 110568240.
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.
810 x 240 x 452 x 678 x 302 = 17991664012800
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
452 : 1, 2, 4, 113, 226, 452
678 : 1, 2, 3, 6, 113, 226, 339, 678
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,240,452,678,302, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
240:2x 2x 2x 2x 3x 5
452:2x 2x 113
678:2x 3x 113
302:2x 151
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 2x 3x 3x 5x 113 = 81360
Therefore, the value for common factors is 81360.
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 = 17991664012800/(2x81360)
LCM = 17991664012800/162720
LCM = 110568240
Thus, we can understand that the LCM of 810,240,452,678,302 is 110568240.
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FAQs on LCM of 810, 240, 452, 678, 302
1. What is the LCM of 810, 240, 452, 678, 302?
Answer: LCM of 810, 240, 452, 678, 302 is 110568240.
2. How to calculate the LCM of 810, 240, 452, 678, 302?
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 810, 240, 452, 678, 302.
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}.