LCM of 4582, 3480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4582, 3480 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 4582, 3480. So, keep reading to learn more.
Given numbers are 4582,3480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4582,3480 is 274920.
Find LCM of 4582,3480 with Prime Factorization
| 2 | 4582, 3480 |
| 29 | 2291, 1740 |
| 79, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 79 x 60 = 274920
Therefore, the lowest common multiple of 4582,3480 is 274920.
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.
4582 x 3480 = 15945360
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.
4582 : 1, 2, 29, 58, 79, 158, 2291, 4582
3480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480
58 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4582,3480, is 58.
Now, the common factors can be found like this.
4582:2x 29x 79
3480:2x 2x 2x 3x 5x 29
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 = 15945360/(58x1)
LCM = 15945360/58
LCM = 274920
Thus, we can understand that the LCM of 4582,3480 is 274920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 4582, 3480
1. What is the LCM of 4582, 3480?
Answer: LCM of 4582, 3480 is 274920.
2. How to calculate the LCM of 4582, 3480?
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 4582, 3480.
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}.