Find the LCM of 2948, 3212 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 2948, 3212. So, keep reading to learn more.
Given numbers are 2948,3212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2948,3212 is 215204.
Find LCM of 2948,3212 with Prime Factorization
| 2 | 2948, 3212 |
| 2 | 1474, 1606 |
| 11 | 737, 803 |
| 67, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 73 = 215204
Therefore, the lowest common multiple of 2948,3212 is 215204.
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.
2948 x 3212 = 9468976
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.
2948 : 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948
3212 : 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212
44 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2948,3212, is 44.
Now, the common factors can be found like this.
2948:2x 2x 11x 67
3212:2x 2x 11x 73
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 = 9468976/(44x1)
LCM = 9468976/44
LCM = 215204
Thus, we can understand that the LCM of 2948,3212 is 215204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2948, 3212?
Answer: LCM of 2948, 3212 is 215204.
2. How to calculate the LCM of 2948, 3212?
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 2948, 3212.
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}.