Find the LCM of 2204, 5420 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 2204, 5420. So, keep reading to learn more.
Given numbers are 2204,5420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2204,5420 is 2986420.
Find LCM of 2204,5420 with Prime Factorization
| 2 | 2204, 5420 |
| 2 | 1102, 2710 |
| 551, 1355 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 551 x 1355 = 2986420
Therefore, the lowest common multiple of 2204,5420 is 2986420.
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.
2204 x 5420 = 11945680
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.
2204 : 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204
5420 : 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2204,5420, is 4.
Now, the common factors can be found like this.
2204:2x 2x 19x 29
5420:2x 2x 5x 271
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 = 11945680/(4x1)
LCM = 11945680/4
LCM = 2986420
Thus, we can understand that the LCM of 2204,5420 is 2986420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2204, 5420?
Answer: LCM of 2204, 5420 is 2986420.
2. How to calculate the LCM of 2204, 5420?
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 2204, 5420.
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}.