LCM of 180, 820, 277, 105, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 820, 277, 105, 450 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, 820, 277, 105, 450. So, keep reading to learn more.
Given numbers are 180,820,277,105,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,820,277,105,450 is 71549100.
Find LCM of 180,820,277,105,450 with Prime Factorization
| 2 | 180, 820, 277, 105, 450 |
| 2 | 90, 410, 277, 105, 225 |
| 3 | 45, 205, 277, 105, 225 |
| 3 | 15, 205, 277, 35, 75 |
| 5 | 5, 205, 277, 35, 25 |
| 1, 41, 277, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 1 x 41 x 277 x 7 x 5 = 71549100
Therefore, the lowest common multiple of 180,820,277,105,450 is 71549100.
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 820 x 277 x 105 x 450 = 1931825700000
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
277 : 1, 277
105 : 1, 3, 5, 7, 15, 21, 35, 105
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,820,277,105,450, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
820:2x 2x 5x 41
277:277
105:3x 5x 7
450:2x 3x 3x 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 3x 3x 3x 5x 5x 5 = 27000
Therefore, the value for common factors is 27000.
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 = 1931825700000/(1x27000)
LCM = 1931825700000/27000
LCM = 71549100
Thus, we can understand that the LCM of 180,820,277,105,450 is 71549100.
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FAQs on LCM of 180, 820, 277, 105, 450
1. What is the LCM of 180, 820, 277, 105, 450?
Answer: LCM of 180, 820, 277, 105, 450 is 71549100.
2. How to calculate the LCM of 180, 820, 277, 105, 450?
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, 820, 277, 105, 450.
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}.