Find the LCM of 1113, 2359 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 1113, 2359. So, keep reading to learn more.
Given numbers are 1113,2359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1113,2359 is 375081.
Find LCM of 1113,2359 with Prime Factorization
| 7 | 1113, 2359 |
| 159, 337 |
Multiply the prime numbers at the bottom and the left side.
7 x 159 x 337 = 375081
Therefore, the lowest common multiple of 1113,2359 is 375081.
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.
1113 x 2359 = 2625567
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.
1113 : 1, 3, 7, 21, 53, 159, 371, 1113
2359 : 1, 7, 337, 2359
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1113,2359, is 7.
Now, the common factors can be found like this.
1113:3x 7x 53
2359:7x 337
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 = 2625567/(7x1)
LCM = 2625567/7
LCM = 375081
Thus, we can understand that the LCM of 1113,2359 is 375081.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1113, 2359?
Answer: LCM of 1113, 2359 is 375081.
2. How to calculate the LCM of 1113, 2359?
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 1113, 2359.
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}.