LCM of 992, 465, 892, 569
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 465, 892, 569 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 992, 465, 892, 569. So, keep reading to learn more.
Given numbers are 992,465,892,569
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,465,892,569 is 1888078560.
Find LCM of 992,465,892,569 with Prime Factorization
| 2 | 992, 465, 892, 569 |
| 2 | 496, 465, 446, 569 |
| 31 | 248, 465, 223, 569 |
| 8, 15, 223, 569 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 8 x 15 x 223 x 569 = 1888078560
Therefore, the lowest common multiple of 992,465,892,569 is 1888078560.
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.
992 x 465 x 892 x 569 = 234121741440
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
465 : 1, 3, 5, 15, 31, 93, 155, 465
892 : 1, 2, 4, 223, 446, 892
569 : 1, 569
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,465,892,569, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
465:3x 5x 31
892:2x 2x 223
569:569
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 31 = 124
Therefore, the value for common factors is 124.
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 = 234121741440/(1x124)
LCM = 234121741440/124
LCM = 1888078560
Thus, we can understand that the LCM of 992,465,892,569 is 1888078560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 992, 465, 892, 569
1. What is the LCM of 992, 465, 892, 569?
Answer: LCM of 992, 465, 892, 569 is 1888078560.
2. How to calculate the LCM of 992, 465, 892, 569?
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 992, 465, 892, 569.
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}.