LCM of 6366, 7650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6366, 7650 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 6366, 7650. So, keep reading to learn more.
Given numbers are 6366,7650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6366,7650 is 8116650.
Find LCM of 6366,7650 with Prime Factorization
| 2 | 6366, 7650 |
| 3 | 3183, 3825 |
| 1061, 1275 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1061 x 1275 = 8116650
Therefore, the lowest common multiple of 6366,7650 is 8116650.
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.
6366 x 7650 = 48699900
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.
6366 : 1, 2, 3, 6, 1061, 2122, 3183, 6366
7650 : 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6366,7650, is 6.
Now, the common factors can be found like this.
6366:2x 3x 1061
7650:2x 3x 3x 5x 5x 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 = 48699900/(6x1)
LCM = 48699900/6
LCM = 8116650
Thus, we can understand that the LCM of 6366,7650 is 8116650.
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FAQs on LCM of 6366, 7650
1. What is the LCM of 6366, 7650?
Answer: LCM of 6366, 7650 is 8116650.
2. How to calculate the LCM of 6366, 7650?
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 6366, 7650.
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}.