LCM of 8490, 8305
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8490, 8305 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 8490, 8305. So, keep reading to learn more.
Given numbers are 8490,8305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8490,8305 is 14101890.
Find LCM of 8490,8305 with Prime Factorization
| 5 | 8490, 8305 |
| 1698, 1661 |
Multiply the prime numbers at the bottom and the left side.
5 x 1698 x 1661 = 14101890
Therefore, the lowest common multiple of 8490,8305 is 14101890.
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.
8490 x 8305 = 70509450
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.
8490 : 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
8305 : 1, 5, 11, 55, 151, 755, 1661, 8305
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8490,8305, is 5.
Now, the common factors can be found like this.
8490:2x 3x 5x 283
8305:5x 11x 151
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 = 70509450/(5x1)
LCM = 70509450/5
LCM = 14101890
Thus, we can understand that the LCM of 8490,8305 is 14101890.
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FAQs on LCM of 8490, 8305
1. What is the LCM of 8490, 8305?
Answer: LCM of 8490, 8305 is 14101890.
2. How to calculate the LCM of 8490, 8305?
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 8490, 8305.
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}.