LCM of 211, 525, 900, 119, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 525, 900, 119, 747 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, 525, 900, 119, 747. So, keep reading to learn more.
Given numbers are 211,525,900,119,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,525,900,119,747 is 1875642300.
Find LCM of 211,525,900,119,747 with Prime Factorization
| 3 | 211, 525, 900, 119, 747 |
| 3 | 211, 175, 300, 119, 249 |
| 5 | 211, 175, 100, 119, 83 |
| 5 | 211, 35, 20, 119, 83 |
| 7 | 211, 7, 4, 119, 83 |
| 211, 1, 4, 17, 83 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 5 x 7 x 211 x 1 x 4 x 17 x 83 = 1875642300
Therefore, the lowest common multiple of 211,525,900,119,747 is 1875642300.
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 525 x 900 x 119 x 747 = 8862409867500
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
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
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
119 : 1, 7, 17, 119
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,525,900,119,747, is 1.
Now, the common factors can be found like this.
211:211
525:3x 5x 5x 7
900:2x 2x 3x 3x 5x 5
119:7x 17
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 7 = 4725
Therefore, the value for common factors is 4725.
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 = 8862409867500/(1x4725)
LCM = 8862409867500/4725
LCM = 1875642300
Thus, we can understand that the LCM of 211,525,900,119,747 is 1875642300.
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FAQs on LCM of 211, 525, 900, 119, 747
1. What is the LCM of 211, 525, 900, 119, 747?
Answer: LCM of 211, 525, 900, 119, 747 is 1875642300.
2. How to calculate the LCM of 211, 525, 900, 119, 747?
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, 525, 900, 119, 747.
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}.