LCM of 885, 506, 567, 586, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 506, 567, 586, 814 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 885, 506, 567, 586, 814. So, keep reading to learn more.
Given numbers are 885,506,567,586,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,506,567,586,814 is 917539851690.
Find LCM of 885,506,567,586,814 with Prime Factorization
| 2 | 885, 506, 567, 586, 814 |
| 3 | 885, 253, 567, 293, 407 |
| 11 | 295, 253, 189, 293, 407 |
| 295, 23, 189, 293, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 295 x 23 x 189 x 293 x 37 = 917539851690
Therefore, the lowest common multiple of 885,506,567,586,814 is 917539851690.
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.
885 x 506 x 567 x 586 x 814 = 121115260423080
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
506 : 1, 2, 11, 22, 23, 46, 253, 506
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
586 : 1, 2, 293, 586
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,506,567,586,814, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
506:2x 11x 23
567:3x 3x 3x 3x 7
586:2x 293
814:2x 11x 37
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 11 = 132
Therefore, the value for common factors is 132.
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 = 121115260423080/(1x132)
LCM = 121115260423080/132
LCM = 917539851690
Thus, we can understand that the LCM of 885,506,567,586,814 is 917539851690.
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FAQs on LCM of 885, 506, 567, 586, 814
1. What is the LCM of 885, 506, 567, 586, 814?
Answer: LCM of 885, 506, 567, 586, 814 is 917539851690.
2. How to calculate the LCM of 885, 506, 567, 586, 814?
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 885, 506, 567, 586, 814.
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}.