LCM of 4522, 6104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4522, 6104 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 4522, 6104. So, keep reading to learn more.
Given numbers are 4522,6104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4522,6104 is 1971592.
Find LCM of 4522,6104 with Prime Factorization
| 2 | 4522, 6104 |
| 7 | 2261, 3052 |
| 323, 436 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 323 x 436 = 1971592
Therefore, the lowest common multiple of 4522,6104 is 1971592.
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.
4522 x 6104 = 27602288
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.
4522 : 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
6104 : 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4522,6104, is 14.
Now, the common factors can be found like this.
4522:2x 7x 17x 19
6104:2x 2x 2x 7x 109
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 = 27602288/(14x1)
LCM = 27602288/14
LCM = 1971592
Thus, we can understand that the LCM of 4522,6104 is 1971592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 4522, 6104
1. What is the LCM of 4522, 6104?
Answer: LCM of 4522, 6104 is 1971592.
2. How to calculate the LCM of 4522, 6104?
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 4522, 6104.
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}.