LCM of 180, 540, 162, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 540, 162, 650 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 180, 540, 162, 650. So, keep reading to learn more.
Given numbers are 180,540,162,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,540,162,650 is 105300.
Find LCM of 180,540,162,650 with Prime Factorization
| 2 | 180, 540, 162, 650 |
| 2 | 90, 270, 81, 325 |
| 3 | 45, 135, 81, 325 |
| 3 | 15, 45, 27, 325 |
| 3 | 5, 15, 9, 325 |
| 5 | 5, 5, 3, 325 |
| 1, 1, 3, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 1 x 1 x 3 x 65 = 105300
Therefore, the lowest common multiple of 180,540,162,650 is 105300.
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.
180 x 540 x 162 x 650 = 10235160000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,540,162,650, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
540:2x 2x 3x 3x 3x 5
162:2x 3x 3x 3x 3
650:2x 5x 5x 13
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 3x 5x 5 = 48600
Therefore, the value for common factors is 48600.
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 = 10235160000/(2x48600)
LCM = 10235160000/97200
LCM = 105300
Thus, we can understand that the LCM of 180,540,162,650 is 105300.
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FAQs on LCM of 180, 540, 162, 650
1. What is the LCM of 180, 540, 162, 650?
Answer: LCM of 180, 540, 162, 650 is 105300.
2. How to calculate the LCM of 180, 540, 162, 650?
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 180, 540, 162, 650.
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}.