LCM of 261, 734, 732, 431, 305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 734, 732, 431, 305 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 261, 734, 732, 431, 305. So, keep reading to learn more.
Given numbers are 261,734,732,431,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,734,732,431,305 is 50366720340.
Find LCM of 261,734,732,431,305 with Prime Factorization
| 2 | 261, 734, 732, 431, 305 |
| 3 | 261, 367, 366, 431, 305 |
| 61 | 87, 367, 122, 431, 305 |
| 87, 367, 2, 431, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 87 x 367 x 2 x 431 x 5 = 50366720340
Therefore, the lowest common multiple of 261,734,732,431,305 is 50366720340.
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.
261 x 734 x 732 x 431 x 305 = 18434219644440
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.
261 : 1, 3, 9, 29, 87, 261
734 : 1, 2, 367, 734
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
431 : 1, 431
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,734,732,431,305, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
734:2x 367
732:2x 2x 3x 61
431:431
305:5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 61 = 366
Therefore, the value for common factors is 366.
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 = 18434219644440/(1x366)
LCM = 18434219644440/366
LCM = 50366720340
Thus, we can understand that the LCM of 261,734,732,431,305 is 50366720340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 261, 734, 732, 431, 305
1. What is the LCM of 261, 734, 732, 431, 305?
Answer: LCM of 261, 734, 732, 431, 305 is 50366720340.
2. How to calculate the LCM of 261, 734, 732, 431, 305?
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 261, 734, 732, 431, 305.
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}.