LCM of 808, 255, 992, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 255, 992, 748 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 808, 255, 992, 748. So, keep reading to learn more.
Given numbers are 808,255,992,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,255,992,748 is 281038560.
Find LCM of 808,255,992,748 with Prime Factorization
| 2 | 808, 255, 992, 748 |
| 2 | 404, 255, 496, 374 |
| 2 | 202, 255, 248, 187 |
| 17 | 101, 255, 124, 187 |
| 101, 15, 124, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 101 x 15 x 124 x 11 = 281038560
Therefore, the lowest common multiple of 808,255,992,748 is 281038560.
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.
808 x 255 x 992 x 748 = 152884976640
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
255 : 1, 3, 5, 15, 17, 51, 85, 255
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,255,992,748, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
255:3x 5x 17
992:2x 2x 2x 2x 2x 31
748:2x 2x 11x 17
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 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 152884976640/(1x544)
LCM = 152884976640/544
LCM = 281038560
Thus, we can understand that the LCM of 808,255,992,748 is 281038560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 255, 992, 748
1. What is the LCM of 808, 255, 992, 748?
Answer: LCM of 808, 255, 992, 748 is 281038560.
2. How to calculate the LCM of 808, 255, 992, 748?
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 808, 255, 992, 748.
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}.