LCM of 277, 408, 600, 860, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 408, 600, 860, 379 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, 408, 600, 860, 379. So, keep reading to learn more.
Given numbers are 277,408,600,860,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,408,600,860,379 is 46045543800.
Find LCM of 277,408,600,860,379 with Prime Factorization
| 2 | 277, 408, 600, 860, 379 |
| 2 | 277, 204, 300, 430, 379 |
| 2 | 277, 102, 150, 215, 379 |
| 3 | 277, 51, 75, 215, 379 |
| 5 | 277, 17, 25, 215, 379 |
| 277, 17, 5, 43, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 277 x 17 x 5 x 43 x 379 = 46045543800
Therefore, the lowest common multiple of 277,408,600,860,379 is 46045543800.
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 408 x 600 x 860 x 379 = 22101861024000
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,408,600,860,379, is 1.
Now, the common factors can be found like this.
277:277
408:2x 2x 2x 3x 17
600:2x 2x 2x 3x 5x 5
860:2x 2x 5x 43
379:379
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 22101861024000/(1x480)
LCM = 22101861024000/480
LCM = 46045543800
Thus, we can understand that the LCM of 277,408,600,860,379 is 46045543800.
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FAQs on LCM of 277, 408, 600, 860, 379
1. What is the LCM of 277, 408, 600, 860, 379?
Answer: LCM of 277, 408, 600, 860, 379 is 46045543800.
2. How to calculate the LCM of 277, 408, 600, 860, 379?
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, 408, 600, 860, 379.
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}.