LCM of 331, 240, 300, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 240, 300, 992 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 331, 240, 300, 992. So, keep reading to learn more.
Given numbers are 331,240,300,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,240,300,992 is 24626400.
Find LCM of 331,240,300,992 with Prime Factorization
| 2 | 331, 240, 300, 992 |
| 2 | 331, 120, 150, 496 |
| 2 | 331, 60, 75, 248 |
| 2 | 331, 30, 75, 124 |
| 3 | 331, 15, 75, 62 |
| 5 | 331, 5, 25, 62 |
| 331, 1, 5, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 331 x 1 x 5 x 62 = 24626400
Therefore, the lowest common multiple of 331,240,300,992 is 24626400.
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.
331 x 240 x 300 x 992 = 23641344000
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.
331 : 1, 331
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,240,300,992, is 1.
Now, the common factors can be found like this.
331:331
240:2x 2x 2x 2x 3x 5
300:2x 2x 3x 5x 5
992:2x 2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 23641344000/(1x960)
LCM = 23641344000/960
LCM = 24626400
Thus, we can understand that the LCM of 331,240,300,992 is 24626400.
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FAQs on LCM of 331, 240, 300, 992
1. What is the LCM of 331, 240, 300, 992?
Answer: LCM of 331, 240, 300, 992 is 24626400.
2. How to calculate the LCM of 331, 240, 300, 992?
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 331, 240, 300, 992.
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}.