LCM of 4551, 5265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4551, 5265 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 4551, 5265. So, keep reading to learn more.
Given numbers are 4551,5265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4551,5265 is 7987005.
Find LCM of 4551,5265 with Prime Factorization
| 3 | 4551, 5265 |
| 1517, 1755 |
Multiply the prime numbers at the bottom and the left side.
3 x 1517 x 1755 = 7987005
Therefore, the lowest common multiple of 4551,5265 is 7987005.
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.
4551 x 5265 = 23961015
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.
4551 : 1, 3, 37, 41, 111, 123, 1517, 4551
5265 : 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4551,5265, is 3.
Now, the common factors can be found like this.
4551:3x 37x 41
5265:3x 3x 3x 3x 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 = 23961015/(3x1)
LCM = 23961015/3
LCM = 7987005
Thus, we can understand that the LCM of 4551,5265 is 7987005.
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FAQs on LCM of 4551, 5265
1. What is the LCM of 4551, 5265?
Answer: LCM of 4551, 5265 is 7987005.
2. How to calculate the LCM of 4551, 5265?
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 4551, 5265.
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}.