LCM of 277, 507, 896, 379, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 507, 896, 379, 405 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 277, 507, 896, 379, 405. So, keep reading to learn more.
Given numbers are 277,507,896,379,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,507,896,379,405 is 6438263045760.
Find LCM of 277,507,896,379,405 with Prime Factorization
| 3 | 277, 507, 896, 379, 405 |
| 277, 169, 896, 379, 135 |
Multiply the prime numbers at the bottom and the left side.
3 x 277 x 169 x 896 x 379 x 135 = 6438263045760
Therefore, the lowest common multiple of 277,507,896,379,405 is 6438263045760.
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.
277 x 507 x 896 x 379 x 405 = 19314789137280
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.
277 : 1, 277
507 : 1, 3, 13, 39, 169, 507
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
379 : 1, 379
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,507,896,379,405, is 1.
Now, the common factors can be found like this.
277:277
507:3x 13x 13
896:2x 2x 2x 2x 2x 2x 2x 7
379:379
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 19314789137280/(1x3)
LCM = 19314789137280/3
LCM = 6438263045760
Thus, we can understand that the LCM of 277,507,896,379,405 is 6438263045760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 507, 896, 379, 405
1. What is the LCM of 277, 507, 896, 379, 405?
Answer: LCM of 277, 507, 896, 379, 405 is 6438263045760.
2. How to calculate the LCM of 277, 507, 896, 379, 405?
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 277, 507, 896, 379, 405.
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}.