LCM of 992, 935, 937, 792, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 935, 937, 792, 567 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, 935, 937, 792, 567. So, keep reading to learn more.
Given numbers are 992,935,937,792,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,935,937,792,567 is 492771898080.
Find LCM of 992,935,937,792,567 with Prime Factorization
| 2 | 992, 935, 937, 792, 567 |
| 2 | 496, 935, 937, 396, 567 |
| 2 | 248, 935, 937, 198, 567 |
| 3 | 124, 935, 937, 99, 567 |
| 3 | 124, 935, 937, 33, 189 |
| 11 | 124, 935, 937, 11, 63 |
| 124, 85, 937, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 124 x 85 x 937 x 1 x 63 = 492771898080
Therefore, the lowest common multiple of 992,935,937,792,567 is 492771898080.
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 935 x 937 x 792 x 567 = 390275343279360
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
935 : 1, 5, 11, 17, 55, 85, 187, 935
937 : 1, 937
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,935,937,792,567, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
935:5x 11x 17
937:937
792:2x 2x 2x 3x 3x 11
567:3x 3x 3x 3x 7
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 390275343279360/(1x792)
LCM = 390275343279360/792
LCM = 492771898080
Thus, we can understand that the LCM of 992,935,937,792,567 is 492771898080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 992, 935, 937, 792, 567
1. What is the LCM of 992, 935, 937, 792, 567?
Answer: LCM of 992, 935, 937, 792, 567 is 492771898080.
2. How to calculate the LCM of 992, 935, 937, 792, 567?
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, 935, 937, 792, 567.
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}.