LCM of 5082, 4477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5082, 4477 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 5082, 4477. So, keep reading to learn more.
Given numbers are 5082,4477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5082,4477 is 188034.
Find LCM of 5082,4477 with Prime Factorization
| 11 | 5082, 4477 |
| 11 | 462, 407 |
| 42, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 42 x 37 = 188034
Therefore, the lowest common multiple of 5082,4477 is 188034.
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.
5082 x 4477 = 22752114
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.
5082 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
4477 : 1, 11, 37, 121, 407, 4477
121 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5082,4477, is 121.
Now, the common factors can be found like this.
5082:2x 3x 7x 11x 11
4477:11x 11x 37
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 = 22752114/(121x1)
LCM = 22752114/121
LCM = 188034
Thus, we can understand that the LCM of 5082,4477 is 188034.
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FAQs on LCM of 5082, 4477
1. What is the LCM of 5082, 4477?
Answer: LCM of 5082, 4477 is 188034.
2. How to calculate the LCM of 5082, 4477?
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 5082, 4477.
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}.