LCM of 9164, 7268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9164, 7268 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 9164, 7268. So, keep reading to learn more.
Given numbers are 9164,7268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9164,7268 is 210772.
Find LCM of 9164,7268 with Prime Factorization
| 2 | 9164, 7268 |
| 2 | 4582, 3634 |
| 79 | 2291, 1817 |
| 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 29 x 23 = 210772
Therefore, the lowest common multiple of 9164,7268 is 210772.
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.
9164 x 7268 = 66603952
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.
9164 : 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
7268 : 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268
316 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9164,7268, is 316.
Now, the common factors can be found like this.
9164:2x 2x 29x 79
7268:2x 2x 23x 79
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 = 66603952/(316x1)
LCM = 66603952/316
LCM = 210772
Thus, we can understand that the LCM of 9164,7268 is 210772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9164, 7268
1. What is the LCM of 9164, 7268?
Answer: LCM of 9164, 7268 is 210772.
2. How to calculate the LCM of 9164, 7268?
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 9164, 7268.
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}.