LCM of 2420, 5200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2420, 5200 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 2420, 5200. So, keep reading to learn more.
Given numbers are 2420,5200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2420,5200 is 629200.
Find LCM of 2420,5200 with Prime Factorization
| 2 | 2420, 5200 |
| 2 | 1210, 2600 |
| 5 | 605, 1300 |
| 121, 260 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 121 x 260 = 629200
Therefore, the lowest common multiple of 2420,5200 is 629200.
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.
2420 x 5200 = 12584000
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.
2420 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
5200 : 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
20 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2420,5200, is 20.
Now, the common factors can be found like this.
2420:2x 2x 5x 11x 11
5200:2x 2x 2x 2x 5x 5x 13
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 = 12584000/(20x1)
LCM = 12584000/20
LCM = 629200
Thus, we can understand that the LCM of 2420,5200 is 629200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 2420, 5200
1. What is the LCM of 2420, 5200?
Answer: LCM of 2420, 5200 is 629200.
2. How to calculate the LCM of 2420, 5200?
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 2420, 5200.
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}.