LCM of 6012, 2316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6012, 2316 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 6012, 2316. So, keep reading to learn more.
Given numbers are 6012,2316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6012,2316 is 1160316.
Find LCM of 6012,2316 with Prime Factorization
| 2 | 6012, 2316 |
| 2 | 3006, 1158 |
| 3 | 1503, 579 |
| 501, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 501 x 193 = 1160316
Therefore, the lowest common multiple of 6012,2316 is 1160316.
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.
6012 x 2316 = 13923792
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.
6012 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 6012
2316 : 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6012,2316, is 12.
Now, the common factors can be found like this.
6012:2x 2x 3x 3x 167
2316:2x 2x 3x 193
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 = 13923792/(12x1)
LCM = 13923792/12
LCM = 1160316
Thus, we can understand that the LCM of 6012,2316 is 1160316.
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FAQs on LCM of 6012, 2316
1. What is the LCM of 6012, 2316?
Answer: LCM of 6012, 2316 is 1160316.
2. How to calculate the LCM of 6012, 2316?
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 6012, 2316.
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}.