LCM of 827, 540, 288, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 540, 288, 870 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 827, 540, 288, 870. So, keep reading to learn more.
Given numbers are 827,540,288,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,540,288,870 is 103606560.
Find LCM of 827,540,288,870 with Prime Factorization
| 2 | 827, 540, 288, 870 |
| 2 | 827, 270, 144, 435 |
| 3 | 827, 135, 72, 435 |
| 3 | 827, 45, 24, 145 |
| 5 | 827, 15, 8, 145 |
| 827, 3, 8, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 827 x 3 x 8 x 29 = 103606560
Therefore, the lowest common multiple of 827,540,288,870 is 103606560.
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.
827 x 540 x 288 x 870 = 111895084800
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.
827 : 1, 827
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,540,288,870, is 1.
Now, the common factors can be found like this.
827:827
540:2x 2x 3x 3x 3x 5
288:2x 2x 2x 2x 2x 3x 3
870:2x 3x 5x 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 5 = 1080
Therefore, the value for common factors is 1080.
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 = 111895084800/(1x1080)
LCM = 111895084800/1080
LCM = 103606560
Thus, we can understand that the LCM of 827,540,288,870 is 103606560.
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FAQs on LCM of 827, 540, 288, 870
1. What is the LCM of 827, 540, 288, 870?
Answer: LCM of 827, 540, 288, 870 is 103606560.
2. How to calculate the LCM of 827, 540, 288, 870?
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 827, 540, 288, 870.
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}.