LCM of 211, 900, 648, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 900, 648, 820 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 211, 900, 648, 820. So, keep reading to learn more.
Given numbers are 211,900,648,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,900,648,820 is 140146200.
Find LCM of 211,900,648,820 with Prime Factorization
| 2 | 211, 900, 648, 820 |
| 2 | 211, 450, 324, 410 |
| 3 | 211, 225, 162, 205 |
| 3 | 211, 75, 54, 205 |
| 5 | 211, 25, 18, 205 |
| 211, 5, 18, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 211 x 5 x 18 x 41 = 140146200
Therefore, the lowest common multiple of 211,900,648,820 is 140146200.
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.
211 x 900 x 648 x 820 = 100905264000
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.
211 : 1, 211
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,900,648,820, is 1.
Now, the common factors can be found like this.
211:211
900:2x 2x 3x 3x 5x 5
648:2x 2x 2x 3x 3x 3x 3
820:2x 2x 5x 41
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 5 = 720
Therefore, the value for common factors is 720.
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 = 100905264000/(1x720)
LCM = 100905264000/720
LCM = 140146200
Thus, we can understand that the LCM of 211,900,648,820 is 140146200.
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FAQs on LCM of 211, 900, 648, 820
1. What is the LCM of 211, 900, 648, 820?
Answer: LCM of 211, 900, 648, 820 is 140146200.
2. How to calculate the LCM of 211, 900, 648, 820?
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 211, 900, 648, 820.
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}.