LCM of 310, 814, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 814, 960 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 310, 814, 960. So, keep reading to learn more.
Given numbers are 310,814,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,814,960 is 12112320.
Find LCM of 310,814,960 with Prime Factorization
| 2 | 310, 814, 960 |
| 5 | 155, 407, 480 |
| 31, 407, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 407 x 96 = 12112320
Therefore, the lowest common multiple of 310,814,960 is 12112320.
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.
310 x 814 x 960 = 242246400
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
814 : 1, 2, 11, 22, 37, 74, 407, 814
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,814,960, is 2.
Now, the common factors can be found like this.
310:2x 5x 31
814:2x 11x 37
960:2x 2x 2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 242246400/(2x10)
LCM = 242246400/20
LCM = 12112320
Thus, we can understand that the LCM of 310,814,960 is 12112320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 814, 960
1. What is the LCM of 310, 814, 960?
Answer: LCM of 310, 814, 960 is 12112320.
2. How to calculate the LCM of 310, 814, 960?
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 310, 814, 960.
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}.