Find the LCM of 2974, 3122 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 2974, 3122. So, keep reading to learn more.
Given numbers are 2974,3122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2974,3122 is 4642414.
Find LCM of 2974,3122 with Prime Factorization
| 2 | 2974, 3122 |
| 1487, 1561 |
Multiply the prime numbers at the bottom and the left side.
2 x 1487 x 1561 = 4642414
Therefore, the lowest common multiple of 2974,3122 is 4642414.
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.
2974 x 3122 = 9284828
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.
2974 : 1, 2, 1487, 2974
3122 : 1, 2, 7, 14, 223, 446, 1561, 3122
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2974,3122, is 2.
Now, the common factors can be found like this.
2974:2x 1487
3122:2x 7x 223
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 = 9284828/(2x1)
LCM = 9284828/2
LCM = 4642414
Thus, we can understand that the LCM of 2974,3122 is 4642414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2974, 3122?
Answer: LCM of 2974, 3122 is 4642414.
2. How to calculate the LCM of 2974, 3122?
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 2974, 3122.
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}.