LCM of 207, 333, 275, 936, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 333, 275, 936, 962 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 207, 333, 275, 936, 962. So, keep reading to learn more.
Given numbers are 207,333,275,936,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,333,275,936,962 is 219047400.
Find LCM of 207,333,275,936,962 with Prime Factorization
| 2 | 207, 333, 275, 936, 962 |
| 3 | 207, 333, 275, 468, 481 |
| 3 | 69, 111, 275, 156, 481 |
| 13 | 23, 37, 275, 52, 481 |
| 37 | 23, 37, 275, 4, 37 |
| 23, 1, 275, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 37 x 23 x 1 x 275 x 4 x 1 = 219047400
Therefore, the lowest common multiple of 207,333,275,936,962 is 219047400.
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.
207 x 333 x 275 x 936 x 962 = 17068611502800
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.
207 : 1, 3, 9, 23, 69, 207
333 : 1, 3, 9, 37, 111, 333
275 : 1, 5, 11, 25, 55, 275
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,333,275,936,962, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
333:3x 3x 37
275:5x 5x 11
936:2x 2x 2x 3x 3x 13
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 13x 37 = 77922
Therefore, the value for common factors is 77922.
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 = 17068611502800/(1x77922)
LCM = 17068611502800/77922
LCM = 219047400
Thus, we can understand that the LCM of 207,333,275,936,962 is 219047400.
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FAQs on LCM of 207, 333, 275, 936, 962
1. What is the LCM of 207, 333, 275, 936, 962?
Answer: LCM of 207, 333, 275, 936, 962 is 219047400.
2. How to calculate the LCM of 207, 333, 275, 936, 962?
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 207, 333, 275, 936, 962.
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}.