LCM of 377, 216, 559, 496, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 216, 559, 496, 936 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 377, 216, 559, 496, 936. So, keep reading to learn more.
Given numbers are 377,216,559,496,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,216,559,496,936 is 217097712.
Find LCM of 377,216,559,496,936 with Prime Factorization
| 2 | 377, 216, 559, 496, 936 |
| 2 | 377, 108, 559, 248, 468 |
| 2 | 377, 54, 559, 124, 234 |
| 3 | 377, 27, 559, 62, 117 |
| 3 | 377, 9, 559, 62, 39 |
| 13 | 377, 3, 559, 62, 13 |
| 29, 3, 43, 62, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 29 x 3 x 43 x 62 x 1 = 217097712
Therefore, the lowest common multiple of 377,216,559,496,936 is 217097712.
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.
377 x 216 x 559 x 496 x 936 = 21133159676928
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.
377 : 1, 13, 29, 377
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
559 : 1, 13, 43, 559
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,216,559,496,936, is 1.
Now, the common factors can be found like this.
377:13x 29
216:2x 2x 2x 3x 3x 3
559:13x 43
496:2x 2x 2x 2x 31
936:2x 2x 2x 3x 3x 13
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 2x 2x 3x 3x 13x 13 = 97344
Therefore, the value for common factors is 97344.
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 = 21133159676928/(1x97344)
LCM = 21133159676928/97344
LCM = 217097712
Thus, we can understand that the LCM of 377,216,559,496,936 is 217097712.
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FAQs on LCM of 377, 216, 559, 496, 936
1. What is the LCM of 377, 216, 559, 496, 936?
Answer: LCM of 377, 216, 559, 496, 936 is 217097712.
2. How to calculate the LCM of 377, 216, 559, 496, 936?
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 377, 216, 559, 496, 936.
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}.