Find the LCM of 1208, 5672 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 1208, 5672. So, keep reading to learn more.
Given numbers are 1208,5672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1208,5672 is 856472.
Find LCM of 1208,5672 with Prime Factorization
| 2 | 1208, 5672 |
| 2 | 604, 2836 |
| 2 | 302, 1418 |
| 151, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 151 x 709 = 856472
Therefore, the lowest common multiple of 1208,5672 is 856472.
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.
1208 x 5672 = 6851776
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.
1208 : 1, 2, 4, 8, 151, 302, 604, 1208
5672 : 1, 2, 4, 8, 709, 1418, 2836, 5672
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1208,5672, is 8.
Now, the common factors can be found like this.
1208:2x 2x 2x 151
5672:2x 2x 2x 709
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 = 6851776/(8x1)
LCM = 6851776/8
LCM = 856472
Thus, we can understand that the LCM of 1208,5672 is 856472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1208, 5672?
Answer: LCM of 1208, 5672 is 856472.
2. How to calculate the LCM of 1208, 5672?
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 1208, 5672.
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}.