LCM of 666, 516, 274, 539, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 516, 274, 539, 311 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 666, 516, 274, 539, 311. So, keep reading to learn more.
Given numbers are 666,516,274,539,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,516,274,539,311 is 1315353248748.
Find LCM of 666,516,274,539,311 with Prime Factorization
| 2 | 666, 516, 274, 539, 311 |
| 3 | 333, 258, 137, 539, 311 |
| 111, 86, 137, 539, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 111 x 86 x 137 x 539 x 311 = 1315353248748
Therefore, the lowest common multiple of 666,516,274,539,311 is 1315353248748.
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.
666 x 516 x 274 x 539 x 311 = 15784238984976
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
274 : 1, 2, 137, 274
539 : 1, 7, 11, 49, 77, 539
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,516,274,539,311, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
516:2x 2x 3x 43
274:2x 137
539:7x 7x 11
311:311
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 3 = 12
Therefore, the value for common factors is 12.
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 = 15784238984976/(1x12)
LCM = 15784238984976/12
LCM = 1315353248748
Thus, we can understand that the LCM of 666,516,274,539,311 is 1315353248748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 666, 516, 274, 539, 311
1. What is the LCM of 666, 516, 274, 539, 311?
Answer: LCM of 666, 516, 274, 539, 311 is 1315353248748.
2. How to calculate the LCM of 666, 516, 274, 539, 311?
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 666, 516, 274, 539, 311.
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}.