LCM of 277, 554, 704, 162, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 554, 704, 162, 333 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, 554, 704, 162, 333. So, keep reading to learn more.
Given numbers are 277,554,704,162,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,554,704,162,333 is 584438976.
Find LCM of 277,554,704,162,333 with Prime Factorization
| 2 | 277, 554, 704, 162, 333 |
| 3 | 277, 277, 352, 81, 333 |
| 3 | 277, 277, 352, 27, 111 |
| 277 | 277, 277, 352, 9, 37 |
| 1, 1, 352, 9, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 277 x 1 x 1 x 352 x 9 x 37 = 584438976
Therefore, the lowest common multiple of 277,554,704,162,333 is 584438976.
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 554 x 704 x 162 x 333 = 5828025468672
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
554 : 1, 2, 277, 554
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,554,704,162,333, is 1.
Now, the common factors can be found like this.
277:277
554:2x 277
704:2x 2x 2x 2x 2x 2x 11
162:2x 3x 3x 3x 3
333:3x 3x 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 2x 3x 3x 277 = 9972
Therefore, the value for common factors is 9972.
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 = 5828025468672/(1x9972)
LCM = 5828025468672/9972
LCM = 584438976
Thus, we can understand that the LCM of 277,554,704,162,333 is 584438976.
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FAQs on LCM of 277, 554, 704, 162, 333
1. What is the LCM of 277, 554, 704, 162, 333?
Answer: LCM of 277, 554, 704, 162, 333 is 584438976.
2. How to calculate the LCM of 277, 554, 704, 162, 333?
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, 554, 704, 162, 333.
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}.