LCM of 486, 540, 288, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 540, 288, 957 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 486, 540, 288, 957. So, keep reading to learn more.
Given numbers are 486,540,288,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,540,288,957 is 12402720.
Find LCM of 486,540,288,957 with Prime Factorization
| 2 | 486, 540, 288, 957 |
| 2 | 243, 270, 144, 957 |
| 3 | 243, 135, 72, 957 |
| 3 | 81, 45, 24, 319 |
| 3 | 27, 15, 8, 319 |
| 9, 5, 8, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 9 x 5 x 8 x 319 = 12402720
Therefore, the lowest common multiple of 486,540,288,957 is 12402720.
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.
486 x 540 x 288 x 957 = 72332663040
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
957 : 1, 3, 11, 29, 33, 87, 319, 957
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,540,288,957, is 3.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
540:2x 2x 3x 3x 3x 5
288:2x 2x 2x 2x 2x 3x 3
957:3x 11x 29
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 72332663040/(3x1944)
LCM = 72332663040/5832
LCM = 12402720
Thus, we can understand that the LCM of 486,540,288,957 is 12402720.
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FAQs on LCM of 486, 540, 288, 957
1. What is the LCM of 486, 540, 288, 957?
Answer: LCM of 486, 540, 288, 957 is 12402720.
2. How to calculate the LCM of 486, 540, 288, 957?
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 486, 540, 288, 957.
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}.