LCM of 887, 786, 150, 324, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 786, 150, 324, 180 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, 786, 150, 324, 180. So, keep reading to learn more.
Given numbers are 887,786,150,324,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,786,150,324,180 is 941195700.
Find LCM of 887,786,150,324,180 with Prime Factorization
| 2 | 887, 786, 150, 324, 180 |
| 2 | 887, 393, 75, 162, 90 |
| 3 | 887, 393, 75, 81, 45 |
| 3 | 887, 131, 25, 27, 15 |
| 5 | 887, 131, 25, 9, 5 |
| 887, 131, 1, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 887 x 131 x 1 x 9 x 5 = 941195700
Therefore, the lowest common multiple of 887,786,150,324,180 is 941195700.
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 786 x 150 x 324 x 180 = 6098948136000
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,786,150,324,180, is 1.
Now, the common factors can be found like this.
887:887
786:2x 3x 131
150:2x 3x 5x 5
324:2x 2x 3x 3x 3x 3
180:2x 2x 3x 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 2x 2x 2x 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 6098948136000/(1x6480)
LCM = 6098948136000/6480
LCM = 941195700
Thus, we can understand that the LCM of 887,786,150,324,180 is 941195700.
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FAQs on LCM of 887, 786, 150, 324, 180
1. What is the LCM of 887, 786, 150, 324, 180?
Answer: LCM of 887, 786, 150, 324, 180 is 941195700.
2. How to calculate the LCM of 887, 786, 150, 324, 180?
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, 786, 150, 324, 180.
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}.