LCM of 6270, 2246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6270, 2246 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 6270, 2246. So, keep reading to learn more.
Given numbers are 6270,2246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6270,2246 is 7041210.
Find LCM of 6270,2246 with Prime Factorization
| 2 | 6270, 2246 |
| 3135, 1123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3135 x 1123 = 7041210
Therefore, the lowest common multiple of 6270,2246 is 7041210.
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.
6270 x 2246 = 14082420
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.
6270 : 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270
2246 : 1, 2, 1123, 2246
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6270,2246, is 2.
Now, the common factors can be found like this.
6270:2x 3x 5x 11x 19
2246:2x 1123
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 = 14082420/(2x1)
LCM = 14082420/2
LCM = 7041210
Thus, we can understand that the LCM of 6270,2246 is 7041210.
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FAQs on LCM of 6270, 2246
1. What is the LCM of 6270, 2246?
Answer: LCM of 6270, 2246 is 7041210.
2. How to calculate the LCM of 6270, 2246?
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 6270, 2246.
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}.