LCM of 525, 644, 888, 993, 211
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 644, 888, 993, 211 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 525, 644, 888, 993, 211. So, keep reading to learn more.
Given numbers are 525,644,888,993,211
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,644,888,993,211 is 249625702200.
Find LCM of 525,644,888,993,211 with Prime Factorization
| 2 | 525, 644, 888, 993, 211 |
| 2 | 525, 322, 444, 993, 211 |
| 3 | 525, 161, 222, 993, 211 |
| 7 | 175, 161, 74, 331, 211 |
| 25, 23, 74, 331, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 25 x 23 x 74 x 331 x 211 = 249625702200
Therefore, the lowest common multiple of 525,644,888,993,211 is 249625702200.
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.
525 x 644 x 888 x 993 x 211 = 62905676954400
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
993 : 1, 3, 331, 993
211 : 1, 211
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,644,888,993,211, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
644:2x 2x 7x 23
888:2x 2x 2x 3x 37
993:3x 331
211:211
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 62905676954400/(1x252)
LCM = 62905676954400/252
LCM = 249625702200
Thus, we can understand that the LCM of 525,644,888,993,211 is 249625702200.
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FAQs on LCM of 525, 644, 888, 993, 211
1. What is the LCM of 525, 644, 888, 993, 211?
Answer: LCM of 525, 644, 888, 993, 211 is 249625702200.
2. How to calculate the LCM of 525, 644, 888, 993, 211?
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 525, 644, 888, 993, 211.
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}.