LCM of 452, 366, 981, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 366, 981, 343 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 452, 366, 981, 343. So, keep reading to learn more.
Given numbers are 452,366,981,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,366,981,343 is 9277509276.
Find LCM of 452,366,981,343 with Prime Factorization
| 2 | 452, 366, 981, 343 |
| 3 | 226, 183, 981, 343 |
| 226, 61, 327, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 226 x 61 x 327 x 343 = 9277509276
Therefore, the lowest common multiple of 452,366,981,343 is 9277509276.
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.
452 x 366 x 981 x 343 = 55665055656
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.
452 : 1, 2, 4, 113, 226, 452
366 : 1, 2, 3, 6, 61, 122, 183, 366
981 : 1, 3, 9, 109, 327, 981
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,366,981,343, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
366:2x 3x 61
981:3x 3x 109
343:7x 7x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 55665055656/(1x6)
LCM = 55665055656/6
LCM = 9277509276
Thus, we can understand that the LCM of 452,366,981,343 is 9277509276.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 366, 981, 343
1. What is the LCM of 452, 366, 981, 343?
Answer: LCM of 452, 366, 981, 343 is 9277509276.
2. How to calculate the LCM of 452, 366, 981, 343?
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 452, 366, 981, 343.
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}.