LCM of 762, 936, 538, 559, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 936, 538, 559, 413 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 762, 936, 538, 559, 413. So, keep reading to learn more.
Given numbers are 762,936,538,559,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,936,538,559,413 is 567871871112.
Find LCM of 762,936,538,559,413 with Prime Factorization
| 2 | 762, 936, 538, 559, 413 |
| 3 | 381, 468, 269, 559, 413 |
| 13 | 127, 156, 269, 559, 413 |
| 127, 12, 269, 43, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 127 x 12 x 269 x 43 x 413 = 567871871112
Therefore, the lowest common multiple of 762,936,538,559,413 is 567871871112.
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.
762 x 936 x 538 x 559 x 413 = 88588011893472
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
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
538 : 1, 2, 269, 538
559 : 1, 13, 43, 559
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,936,538,559,413, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
936:2x 2x 2x 3x 3x 13
538:2x 269
559:13x 43
413:7x 59
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 13 = 156
Therefore, the value for common factors is 156.
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 = 88588011893472/(1x156)
LCM = 88588011893472/156
LCM = 567871871112
Thus, we can understand that the LCM of 762,936,538,559,413 is 567871871112.
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FAQs on LCM of 762, 936, 538, 559, 413
1. What is the LCM of 762, 936, 538, 559, 413?
Answer: LCM of 762, 936, 538, 559, 413 is 567871871112.
2. How to calculate the LCM of 762, 936, 538, 559, 413?
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 762, 936, 538, 559, 413.
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}.