Find the LCM of 4742, 5974 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 4742, 5974. So, keep reading to learn more.
Given numbers are 4742,5974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4742,5974 is 14164354.
Find LCM of 4742,5974 with Prime Factorization
| 2 | 4742, 5974 |
| 2371, 2987 |
Multiply the prime numbers at the bottom and the left side.
2 x 2371 x 2987 = 14164354
Therefore, the lowest common multiple of 4742,5974 is 14164354.
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.
4742 x 5974 = 28328708
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.
4742 : 1, 2, 2371, 4742
5974 : 1, 2, 29, 58, 103, 206, 2987, 5974
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4742,5974, is 2.
Now, the common factors can be found like this.
4742:2x 2371
5974:2x 29x 103
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 = 28328708/(2x1)
LCM = 28328708/2
LCM = 14164354
Thus, we can understand that the LCM of 4742,5974 is 14164354.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 4742, 5974?
Answer: LCM of 4742, 5974 is 14164354.
2. How to calculate the LCM of 4742, 5974?
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 4742, 5974.
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}.