LCM of 2662, 8415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 2662, 8415 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 2662, 8415. So, keep reading to learn more.
Given numbers are 2662,8415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2662,8415 is 2036430.
Find LCM of 2662,8415 with Prime Factorization
| 11 | 2662, 8415 |
| 242, 765 |
Multiply the prime numbers at the bottom and the left side.
11 x 242 x 765 = 2036430
Therefore, the lowest common multiple of 2662,8415 is 2036430.
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.
2662 x 8415 = 22400730
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.
2662 : 1, 2, 11, 22, 121, 242, 1331, 2662
8415 : 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2662,8415, is 11.
Now, the common factors can be found like this.
2662:2x 11x 11x 11
8415:3x 3x 5x 11x 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 = 22400730/(11x1)
LCM = 22400730/11
LCM = 2036430
Thus, we can understand that the LCM of 2662,8415 is 2036430.
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FAQs on LCM of 2662, 8415
1. What is the LCM of 2662, 8415?
Answer: LCM of 2662, 8415 is 2036430.
2. How to calculate the LCM of 2662, 8415?
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 2662, 8415.
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}.