Find the LCM of 5906, 7300 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 5906, 7300. So, keep reading to learn more.
Given numbers are 5906,7300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5906,7300 is 21556900.
Find LCM of 5906,7300 with Prime Factorization
| 2 | 5906, 7300 |
| 2953, 3650 |
Multiply the prime numbers at the bottom and the left side.
2 x 2953 x 3650 = 21556900
Therefore, the lowest common multiple of 5906,7300 is 21556900.
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.
5906 x 7300 = 43113800
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.
5906 : 1, 2, 2953, 5906
7300 : 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5906,7300, is 2.
Now, the common factors can be found like this.
5906:2x 2953
7300:2x 2x 5x 5x 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 = 43113800/(2x1)
LCM = 43113800/2
LCM = 21556900
Thus, we can understand that the LCM of 5906,7300 is 21556900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5906, 7300?
Answer: LCM of 5906, 7300 is 21556900.
2. How to calculate the LCM of 5906, 7300?
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 5906, 7300.
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}.