LCM of 3486, 9632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3486, 9632 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 3486, 9632. So, keep reading to learn more.
Given numbers are 3486,9632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3486,9632 is 2398368.
Find LCM of 3486,9632 with Prime Factorization
| 2 | 3486, 9632 |
| 7 | 1743, 4816 |
| 249, 688 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 249 x 688 = 2398368
Therefore, the lowest common multiple of 3486,9632 is 2398368.
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.
3486 x 9632 = 33577152
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.
3486 : 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
9632 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3486,9632, is 14.
Now, the common factors can be found like this.
3486:2x 3x 7x 83
9632:2x 2x 2x 2x 2x 7x 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 = 33577152/(14x1)
LCM = 33577152/14
LCM = 2398368
Thus, we can understand that the LCM of 3486,9632 is 2398368.
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FAQs on LCM of 3486, 9632
1. What is the LCM of 3486, 9632?
Answer: LCM of 3486, 9632 is 2398368.
2. How to calculate the LCM of 3486, 9632?
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 3486, 9632.
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}.