LCM of 243, 792, 722, 957, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 792, 722, 957, 741 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 243, 792, 722, 957, 741. So, keep reading to learn more.
Given numbers are 243,792,722,957,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,792,722,957,741 is 2910298248.
Find LCM of 243,792,722,957,741 with Prime Factorization
| 2 | 243, 792, 722, 957, 741 |
| 3 | 243, 396, 361, 957, 741 |
| 3 | 81, 132, 361, 319, 247 |
| 11 | 27, 44, 361, 319, 247 |
| 19 | 27, 4, 361, 29, 247 |
| 27, 4, 19, 29, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 27 x 4 x 19 x 29 x 13 = 2910298248
Therefore, the lowest common multiple of 243,792,722,957,741 is 2910298248.
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.
243 x 792 x 722 x 957 x 741 = 98536878080784
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.
243 : 1, 3, 9, 27, 81, 243
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
722 : 1, 2, 19, 38, 361, 722
957 : 1, 3, 11, 29, 33, 87, 319, 957
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,792,722,957,741, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
792:2x 2x 2x 3x 3x 11
722:2x 19x 19
957:3x 11x 29
741:3x 13x 19
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 3x 3x 3x 11x 19 = 33858
Therefore, the value for common factors is 33858.
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 = 98536878080784/(1x33858)
LCM = 98536878080784/33858
LCM = 2910298248
Thus, we can understand that the LCM of 243,792,722,957,741 is 2910298248.
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FAQs on LCM of 243, 792, 722, 957, 741
1. What is the LCM of 243, 792, 722, 957, 741?
Answer: LCM of 243, 792, 722, 957, 741 is 2910298248.
2. How to calculate the LCM of 243, 792, 722, 957, 741?
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 243, 792, 722, 957, 741.
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}.