LCM of 3630, 1290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3630, 1290 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 3630, 1290. So, keep reading to learn more.
Given numbers are 3630,1290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3630,1290 is 156090.
Find LCM of 3630,1290 with Prime Factorization
| 2 | 3630, 1290 |
| 3 | 1815, 645 |
| 5 | 605, 215 |
| 121, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 121 x 43 = 156090
Therefore, the lowest common multiple of 3630,1290 is 156090.
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.
3630 x 1290 = 4682700
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.
3630 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
1290 : 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
30 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3630,1290, is 30.
Now, the common factors can be found like this.
3630:2x 3x 5x 11x 11
1290:2x 3x 5x 43
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 = 4682700/(30x1)
LCM = 4682700/30
LCM = 156090
Thus, we can understand that the LCM of 3630,1290 is 156090.
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FAQs on LCM of 3630, 1290
1. What is the LCM of 3630, 1290?
Answer: LCM of 3630, 1290 is 156090.
2. How to calculate the LCM of 3630, 1290?
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 3630, 1290.
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}.