LCM of 8567, 5304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8567, 5304 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 8567, 5304. So, keep reading to learn more.
Given numbers are 8567,5304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8567,5304 is 3495336.
Find LCM of 8567,5304 with Prime Factorization
| 13 | 8567, 5304 |
| 659, 408 |
Multiply the prime numbers at the bottom and the left side.
13 x 659 x 408 = 3495336
Therefore, the lowest common multiple of 8567,5304 is 3495336.
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.
8567 x 5304 = 45439368
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.
8567 : 1, 13, 659, 8567
5304 : 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8567,5304, is 13.
Now, the common factors can be found like this.
8567:13x 659
5304:2x 2x 2x 3x 13x 17
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 = 45439368/(13x1)
LCM = 45439368/13
LCM = 3495336
Thus, we can understand that the LCM of 8567,5304 is 3495336.
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FAQs on LCM of 8567, 5304
1. What is the LCM of 8567, 5304?
Answer: LCM of 8567, 5304 is 3495336.
2. How to calculate the LCM of 8567, 5304?
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 8567, 5304.
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}.