LCM of 867, 180, 600, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 180, 600, 500 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 867, 180, 600, 500. So, keep reading to learn more.
Given numbers are 867,180,600,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,180,600,500 is 2601000.
Find LCM of 867,180,600,500 with Prime Factorization
| 2 | 867, 180, 600, 500 |
| 2 | 867, 90, 300, 250 |
| 3 | 867, 45, 150, 125 |
| 5 | 289, 15, 50, 125 |
| 5 | 289, 3, 10, 25 |
| 289, 3, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 289 x 3 x 2 x 5 = 2601000
Therefore, the lowest common multiple of 867,180,600,500 is 2601000.
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.
867 x 180 x 600 x 500 = 46818000000
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.
867 : 1, 3, 17, 51, 289, 867
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,180,600,500, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
180:2x 2x 3x 3x 5
600:2x 2x 2x 3x 5x 5
500:2x 2x 5x 5x 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 5x 5x 5 = 18000
Therefore, the value for common factors is 18000.
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 = 46818000000/(1x18000)
LCM = 46818000000/18000
LCM = 2601000
Thus, we can understand that the LCM of 867,180,600,500 is 2601000.
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FAQs on LCM of 867, 180, 600, 500
1. What is the LCM of 867, 180, 600, 500?
Answer: LCM of 867, 180, 600, 500 is 2601000.
2. How to calculate the LCM of 867, 180, 600, 500?
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 867, 180, 600, 500.
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}.