LCM of 277, 286, 415, 792, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 286, 415, 792, 555 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, 286, 415, 792, 555. So, keep reading to learn more.
Given numbers are 277,286,415,792,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,286,415,792,555 is 43792337160.
Find LCM of 277,286,415,792,555 with Prime Factorization
| 2 | 277, 286, 415, 792, 555 |
| 3 | 277, 143, 415, 396, 555 |
| 5 | 277, 143, 415, 132, 185 |
| 11 | 277, 143, 83, 132, 37 |
| 277, 13, 83, 12, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 277 x 13 x 83 x 12 x 37 = 43792337160
Therefore, the lowest common multiple of 277,286,415,792,555 is 43792337160.
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 286 x 415 x 792 x 555 = 14451471262800
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
415 : 1, 5, 83, 415
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,286,415,792,555, is 1.
Now, the common factors can be found like this.
277:277
286:2x 11x 13
415:5x 83
792:2x 2x 2x 3x 3x 11
555:3x 5x 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 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 14451471262800/(1x330)
LCM = 14451471262800/330
LCM = 43792337160
Thus, we can understand that the LCM of 277,286,415,792,555 is 43792337160.
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FAQs on LCM of 277, 286, 415, 792, 555
1. What is the LCM of 277, 286, 415, 792, 555?
Answer: LCM of 277, 286, 415, 792, 555 is 43792337160.
2. How to calculate the LCM of 277, 286, 415, 792, 555?
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, 286, 415, 792, 555.
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}.