Find the LCM of 1144, 1661 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 1144, 1661. So, keep reading to learn more.
Given numbers are 1144,1661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1144,1661 is 172744.
Find LCM of 1144,1661 with Prime Factorization
| 11 | 1144, 1661 |
| 104, 151 |
Multiply the prime numbers at the bottom and the left side.
11 x 104 x 151 = 172744
Therefore, the lowest common multiple of 1144,1661 is 172744.
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.
1144 x 1661 = 1900184
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.
1144 : 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
1661 : 1, 11, 151, 1661
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1144,1661, is 11.
Now, the common factors can be found like this.
1144:2x 2x 2x 11x 13
1661:11x 151
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 = 1900184/(11x1)
LCM = 1900184/11
LCM = 172744
Thus, we can understand that the LCM of 1144,1661 is 172744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1144, 1661?
Answer: LCM of 1144, 1661 is 172744.
2. How to calculate the LCM of 1144, 1661?
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 1144, 1661.
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}.