Find the LCM of 4010, 5380 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 4010, 5380. So, keep reading to learn more.
Given numbers are 4010,5380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4010,5380 is 2157380.
Find LCM of 4010,5380 with Prime Factorization
| 2 | 4010, 5380 |
| 5 | 2005, 2690 |
| 401, 538 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 401 x 538 = 2157380
Therefore, the lowest common multiple of 4010,5380 is 2157380.
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.
4010 x 5380 = 21573800
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.
4010 : 1, 2, 5, 10, 401, 802, 2005, 4010
5380 : 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4010,5380, is 10.
Now, the common factors can be found like this.
4010:2x 5x 401
5380:2x 2x 5x 269
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 = 21573800/(10x1)
LCM = 21573800/10
LCM = 2157380
Thus, we can understand that the LCM of 4010,5380 is 2157380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 4010, 5380?
Answer: LCM of 4010, 5380 is 2157380.
2. How to calculate the LCM of 4010, 5380?
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 4010, 5380.
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}.