LCM of 524, 871, 646, 936, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 871, 646, 936, 779 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 524, 871, 646, 936, 779. So, keep reading to learn more.
Given numbers are 524,871,646,936,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,871,646,936,779 is 108794847096.
Find LCM of 524,871,646,936,779 with Prime Factorization
| 2 | 524, 871, 646, 936, 779 |
| 2 | 262, 871, 323, 468, 779 |
| 13 | 131, 871, 323, 234, 779 |
| 19 | 131, 67, 323, 18, 779 |
| 131, 67, 17, 18, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 131 x 67 x 17 x 18 x 41 = 108794847096
Therefore, the lowest common multiple of 524,871,646,936,779 is 108794847096.
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.
524 x 871 x 646 x 936 x 779 = 214978617861696
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.
524 : 1, 2, 4, 131, 262, 524
871 : 1, 13, 67, 871
646 : 1, 2, 17, 19, 34, 38, 323, 646
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,871,646,936,779, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
871:13x 67
646:2x 17x 19
936:2x 2x 2x 3x 3x 13
779:19x 41
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 214978617861696/(1x1976)
LCM = 214978617861696/1976
LCM = 108794847096
Thus, we can understand that the LCM of 524,871,646,936,779 is 108794847096.
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FAQs on LCM of 524, 871, 646, 936, 779
1. What is the LCM of 524, 871, 646, 936, 779?
Answer: LCM of 524, 871, 646, 936, 779 is 108794847096.
2. How to calculate the LCM of 524, 871, 646, 936, 779?
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 524, 871, 646, 936, 779.
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}.