LCM of 8241, 7236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8241, 7236 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 8241, 7236. So, keep reading to learn more.
Given numbers are 8241,7236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8241,7236 is 296676.
Find LCM of 8241,7236 with Prime Factorization
| 3 | 8241, 7236 |
| 67 | 2747, 2412 |
| 41, 36 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 41 x 36 = 296676
Therefore, the lowest common multiple of 8241,7236 is 296676.
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.
8241 x 7236 = 59631876
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.
8241 : 1, 3, 41, 67, 123, 201, 2747, 8241
7236 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236
201 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8241,7236, is 201.
Now, the common factors can be found like this.
8241:3x 41x 67
7236:2x 2x 3x 3x 3x 67
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 = 59631876/(201x1)
LCM = 59631876/201
LCM = 296676
Thus, we can understand that the LCM of 8241,7236 is 296676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8241, 7236
1. What is the LCM of 8241, 7236?
Answer: LCM of 8241, 7236 is 296676.
2. How to calculate the LCM of 8241, 7236?
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 8241, 7236.
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}.