LCM of 887, 756, 567, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 756, 567, 576 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 887, 756, 567, 576. So, keep reading to learn more.
Given numbers are 887,756,567,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,756,567,576 is 32187456.
Find LCM of 887,756,567,576 with Prime Factorization
| 2 | 887, 756, 567, 576 |
| 2 | 887, 378, 567, 288 |
| 3 | 887, 189, 567, 144 |
| 3 | 887, 63, 189, 48 |
| 3 | 887, 21, 63, 16 |
| 7 | 887, 7, 21, 16 |
| 887, 1, 3, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 887 x 1 x 3 x 16 = 32187456
Therefore, the lowest common multiple of 887,756,567,576 is 32187456.
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.
887 x 756 x 567 x 576 = 219003450624
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.
887 : 1, 887
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,756,567,576, is 1.
Now, the common factors can be found like this.
887:887
756:2x 2x 3x 3x 3x 7
567:3x 3x 3x 3x 7
576:2x 2x 2x 2x 2x 2x 3x 3
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 3x 3x 3x 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 219003450624/(1x6804)
LCM = 219003450624/6804
LCM = 32187456
Thus, we can understand that the LCM of 887,756,567,576 is 32187456.
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FAQs on LCM of 887, 756, 567, 576
1. What is the LCM of 887, 756, 567, 576?
Answer: LCM of 887, 756, 567, 576 is 32187456.
2. How to calculate the LCM of 887, 756, 567, 576?
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 887, 756, 567, 576.
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}.