LCM of 8210, 8760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8210, 8760 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 8210, 8760. So, keep reading to learn more.
Given numbers are 8210,8760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8210,8760 is 7191960.
Find LCM of 8210,8760 with Prime Factorization
| 2 | 8210, 8760 |
| 5 | 4105, 4380 |
| 821, 876 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 821 x 876 = 7191960
Therefore, the lowest common multiple of 8210,8760 is 7191960.
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.
8210 x 8760 = 71919600
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.
8210 : 1, 2, 5, 10, 821, 1642, 4105, 8210
8760 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8210,8760, is 10.
Now, the common factors can be found like this.
8210:2x 5x 821
8760:2x 2x 2x 3x 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 = 71919600/(10x1)
LCM = 71919600/10
LCM = 7191960
Thus, we can understand that the LCM of 8210,8760 is 7191960.
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FAQs on LCM of 8210, 8760
1. What is the LCM of 8210, 8760?
Answer: LCM of 8210, 8760 is 7191960.
2. How to calculate the LCM of 8210, 8760?
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 8210, 8760.
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}.