LCM of 7672, 9766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 7672, 9766 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 7672, 9766. So, keep reading to learn more.
Given numbers are 7672,9766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7672,9766 is 37462376.
Find LCM of 7672,9766 with Prime Factorization
| 2 | 7672, 9766 |
| 3836, 4883 |
Multiply the prime numbers at the bottom and the left side.
2 x 3836 x 4883 = 37462376
Therefore, the lowest common multiple of 7672,9766 is 37462376.
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.
7672 x 9766 = 74924752
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.
7672 : 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672
9766 : 1, 2, 19, 38, 257, 514, 4883, 9766
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7672,9766, is 2.
Now, the common factors can be found like this.
7672:2x 2x 2x 7x 137
9766:2x 19x 257
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 = 74924752/(2x1)
LCM = 74924752/2
LCM = 37462376
Thus, we can understand that the LCM of 7672,9766 is 37462376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 7672, 9766
1. What is the LCM of 7672, 9766?
Answer: LCM of 7672, 9766 is 37462376.
2. How to calculate the LCM of 7672, 9766?
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 7672, 9766.
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}.