LCM of 337, 536, 504, 816, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 536, 504, 816, 815 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 337, 536, 504, 816, 815. So, keep reading to learn more.
Given numbers are 337,536,504,816,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,536,504,816,815 is 315334701360.
Find LCM of 337,536,504,816,815 with Prime Factorization
| 2 | 337, 536, 504, 816, 815 |
| 2 | 337, 268, 252, 408, 815 |
| 2 | 337, 134, 126, 204, 815 |
| 3 | 337, 67, 63, 102, 815 |
| 337, 67, 21, 34, 815 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 337 x 67 x 21 x 34 x 815 = 315334701360
Therefore, the lowest common multiple of 337,536,504,816,815 is 315334701360.
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.
337 x 536 x 504 x 816 x 815 = 60544262661120
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.
337 : 1, 337
536 : 1, 2, 4, 8, 67, 134, 268, 536
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,536,504,816,815, is 1.
Now, the common factors can be found like this.
337:337
536:2x 2x 2x 67
504:2x 2x 2x 3x 3x 7
816:2x 2x 2x 2x 3x 17
815:5x 163
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 3 = 192
Therefore, the value for common factors is 192.
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 = 60544262661120/(1x192)
LCM = 60544262661120/192
LCM = 315334701360
Thus, we can understand that the LCM of 337,536,504,816,815 is 315334701360.
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FAQs on LCM of 337, 536, 504, 816, 815
1. What is the LCM of 337, 536, 504, 816, 815?
Answer: LCM of 337, 536, 504, 816, 815 is 315334701360.
2. How to calculate the LCM of 337, 536, 504, 816, 815?
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 337, 536, 504, 816, 815.
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}.