LCM of 505, 856, 853, 931, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 856, 853, 931, 566 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 505, 856, 853, 931, 566. So, keep reading to learn more.
Given numbers are 505,856,853,931,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,856,853,931,566 is 97151674499320.
Find LCM of 505,856,853,931,566 with Prime Factorization
| 2 | 505, 856, 853, 931, 566 |
| 505, 428, 853, 931, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 505 x 428 x 853 x 931 x 283 = 97151674499320
Therefore, the lowest common multiple of 505,856,853,931,566 is 97151674499320.
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.
505 x 856 x 853 x 931 x 566 = 194303348998640
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.
505 : 1, 5, 101, 505
856 : 1, 2, 4, 8, 107, 214, 428, 856
853 : 1, 853
931 : 1, 7, 19, 49, 133, 931
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,856,853,931,566, is 1.
Now, the common factors can be found like this.
505:5x 101
856:2x 2x 2x 107
853:853
931:7x 7x 19
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 194303348998640/(1x2)
LCM = 194303348998640/2
LCM = 97151674499320
Thus, we can understand that the LCM of 505,856,853,931,566 is 97151674499320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 856, 853, 931, 566
1. What is the LCM of 505, 856, 853, 931, 566?
Answer: LCM of 505, 856, 853, 931, 566 is 97151674499320.
2. How to calculate the LCM of 505, 856, 853, 931, 566?
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 505, 856, 853, 931, 566.
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}.