LCM of 8214, 9230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8214, 9230 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 8214, 9230. So, keep reading to learn more.
Given numbers are 8214,9230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8214,9230 is 37907610.
Find LCM of 8214,9230 with Prime Factorization
| 2 | 8214, 9230 |
| 4107, 4615 |
Multiply the prime numbers at the bottom and the left side.
2 x 4107 x 4615 = 37907610
Therefore, the lowest common multiple of 8214,9230 is 37907610.
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.
8214 x 9230 = 75815220
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.
8214 : 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214
9230 : 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8214,9230, is 2.
Now, the common factors can be found like this.
8214:2x 3x 37x 37
9230:2x 5x 13x 71
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 = 75815220/(2x1)
LCM = 75815220/2
LCM = 37907610
Thus, we can understand that the LCM of 8214,9230 is 37907610.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 8214, 9230
1. What is the LCM of 8214, 9230?
Answer: LCM of 8214, 9230 is 37907610.
2. How to calculate the LCM of 8214, 9230?
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 8214, 9230.
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}.