LCM of 876, 810, 362, 420, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 810, 362, 420, 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 876, 810, 362, 420, 530. So, keep reading to learn more.
Given numbers are 876,810,362,420,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,810,362,420,530 is 7941277260.
Find LCM of 876,810,362,420,530 with Prime Factorization
| 2 | 876, 810, 362, 420, 530 |
| 2 | 438, 405, 181, 210, 265 |
| 3 | 219, 405, 181, 105, 265 |
| 5 | 73, 135, 181, 35, 265 |
| 73, 27, 181, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 73 x 27 x 181 x 7 x 53 = 7941277260
Therefore, the lowest common multiple of 876,810,362,420,530 is 7941277260.
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.
876 x 810 x 362 x 420 x 530 = 57177196272000
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
362 : 1, 2, 181, 362
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
530 : 1, 2, 5, 10, 53, 106, 265, 530
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,810,362,420,530, is 2.
Now, the common factors can be found like this.
876:2x 2x 3x 73
810:2x 3x 3x 3x 3x 5
362:2x 181
420:2x 2x 3x 5x 7
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 2x 2x 3x 3x 5x 5 = 3600
Therefore, the value for common factors is 3600.
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 = 57177196272000/(2x3600)
LCM = 57177196272000/7200
LCM = 7941277260
Thus, we can understand that the LCM of 876,810,362,420,530 is 7941277260.
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FAQs on LCM of 876, 810, 362, 420, 530
1. What is the LCM of 876, 810, 362, 420, 530?
Answer: LCM of 876, 810, 362, 420, 530 is 7941277260.
2. How to calculate the LCM of 876, 810, 362, 420, 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 876, 810, 362, 420, 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}.