LCM of 4490, 2280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4490, 2280 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 4490, 2280. So, keep reading to learn more.
Given numbers are 4490,2280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4490,2280 is 1023720.
Find LCM of 4490,2280 with Prime Factorization
| 2 | 4490, 2280 |
| 5 | 2245, 1140 |
| 449, 228 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 449 x 228 = 1023720
Therefore, the lowest common multiple of 4490,2280 is 1023720.
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.
4490 x 2280 = 10237200
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.
4490 : 1, 2, 5, 10, 449, 898, 2245, 4490
2280 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4490,2280, is 10.
Now, the common factors can be found like this.
4490:2x 5x 449
2280:2x 2x 2x 3x 5x 19
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 = 10237200/(10x1)
LCM = 10237200/10
LCM = 1023720
Thus, we can understand that the LCM of 4490,2280 is 1023720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 4490, 2280
1. What is the LCM of 4490, 2280?
Answer: LCM of 4490, 2280 is 1023720.
2. How to calculate the LCM of 4490, 2280?
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 4490, 2280.
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}.