LCM of 305, 268, 460, 254, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 268, 460, 254, 796 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 305, 268, 460, 254, 796. So, keep reading to learn more.
Given numbers are 305,268,460,254,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,268,460,254,796 is 47513745460.
Find LCM of 305,268,460,254,796 with Prime Factorization
| 2 | 305, 268, 460, 254, 796 |
| 2 | 305, 134, 230, 127, 398 |
| 5 | 305, 67, 115, 127, 199 |
| 61, 67, 23, 127, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 61 x 67 x 23 x 127 x 199 = 47513745460
Therefore, the lowest common multiple of 305,268,460,254,796 is 47513745460.
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.
305 x 268 x 460 x 254 x 796 = 7602199273600
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.
305 : 1, 5, 61, 305
268 : 1, 2, 4, 67, 134, 268
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
254 : 1, 2, 127, 254
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,268,460,254,796, is 1.
Now, the common factors can be found like this.
305:5x 61
268:2x 2x 67
460:2x 2x 5x 23
254:2x 127
796:2x 2x 199
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 5 = 160
Therefore, the value for common factors is 160.
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 = 7602199273600/(1x160)
LCM = 7602199273600/160
LCM = 47513745460
Thus, we can understand that the LCM of 305,268,460,254,796 is 47513745460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 268, 460, 254, 796
1. What is the LCM of 305, 268, 460, 254, 796?
Answer: LCM of 305, 268, 460, 254, 796 is 47513745460.
2. How to calculate the LCM of 305, 268, 460, 254, 796?
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 305, 268, 460, 254, 796.
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}.