LCM of 8959, 6630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8959, 6630 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 8959, 6630. So, keep reading to learn more.
Given numbers are 8959,6630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8959,6630 is 3494010.
Find LCM of 8959,6630 with Prime Factorization
| 17 | 8959, 6630 |
| 527, 390 |
Multiply the prime numbers at the bottom and the left side.
17 x 527 x 390 = 3494010
Therefore, the lowest common multiple of 8959,6630 is 3494010.
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.
8959 x 6630 = 59398170
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.
8959 : 1, 17, 31, 289, 527, 8959
6630 : 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8959,6630, is 17.
Now, the common factors can be found like this.
8959:17x 17x 31
6630:2x 3x 5x 13x 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 = 59398170/(17x1)
LCM = 59398170/17
LCM = 3494010
Thus, we can understand that the LCM of 8959,6630 is 3494010.
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FAQs on LCM of 8959, 6630
1. What is the LCM of 8959, 6630?
Answer: LCM of 8959, 6630 is 3494010.
2. How to calculate the LCM of 8959, 6630?
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 8959, 6630.
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}.