Find the LCM of 1804, 2706 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 1804, 2706. So, keep reading to learn more.
Given numbers are 1804,2706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1804,2706 is 5412.
Find LCM of 1804,2706 with Prime Factorization
| 2 | 1804, 2706 |
| 11 | 902, 1353 |
| 41 | 82, 123 |
| 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 2 x 3 = 5412
Therefore, the lowest common multiple of 1804,2706 is 5412.
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.
1804 x 2706 = 4881624
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.
1804 : 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
2706 : 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706
902 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1804,2706, is 902.
Now, the common factors can be found like this.
1804:2x 2x 11x 41
2706:2x 3x 11x 41
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 = 4881624/(902x1)
LCM = 4881624/902
LCM = 5412
Thus, we can understand that the LCM of 1804,2706 is 5412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1804, 2706?
Answer: LCM of 1804, 2706 is 5412.
2. How to calculate the LCM of 1804, 2706?
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 1804, 2706.
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}.