LCM of 7342, 5412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7342, 5412 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 7342, 5412. So, keep reading to learn more.
Given numbers are 7342,5412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7342,5412 is 19867452.
Find LCM of 7342,5412 with Prime Factorization
| 2 | 7342, 5412 |
| 3671, 2706 |
Multiply the prime numbers at the bottom and the left side.
2 x 3671 x 2706 = 19867452
Therefore, the lowest common multiple of 7342,5412 is 19867452.
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.
7342 x 5412 = 39734904
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.
7342 : 1, 2, 3671, 7342
5412 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7342,5412, is 2.
Now, the common factors can be found like this.
7342:2x 3671
5412:2x 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 = 39734904/(2x1)
LCM = 39734904/2
LCM = 19867452
Thus, we can understand that the LCM of 7342,5412 is 19867452.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 7342, 5412
1. What is the LCM of 7342, 5412?
Answer: LCM of 7342, 5412 is 19867452.
2. How to calculate the LCM of 7342, 5412?
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 7342, 5412.
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}.