Find the LCM of 1353, 1071 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 1353, 1071. So, keep reading to learn more.
Given numbers are 1353,1071
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1353,1071 is 483021.
Find LCM of 1353,1071 with Prime Factorization
| 3 | 1353, 1071 |
| 451, 357 |
Multiply the prime numbers at the bottom and the left side.
3 x 451 x 357 = 483021
Therefore, the lowest common multiple of 1353,1071 is 483021.
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.
1353 x 1071 = 1449063
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.
1353 : 1, 3, 11, 33, 41, 123, 451, 1353
1071 : 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1353,1071, is 3.
Now, the common factors can be found like this.
1353:3x 11x 41
1071:3x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 1449063/(3x1)
LCM = 1449063/3
LCM = 483021
Thus, we can understand that the LCM of 1353,1071 is 483021.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1353, 1071?
Answer: LCM of 1353, 1071 is 483021.
2. How to calculate the LCM of 1353, 1071?
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 1353, 1071.
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}.