LCM of 514, 860, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 860, 344 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 514, 860, 344. So, keep reading to learn more.
Given numbers are 514,860,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,860,344 is 442040.
Find LCM of 514,860,344 with Prime Factorization
| 2 | 514, 860, 344 |
| 2 | 257, 430, 172 |
| 43 | 257, 215, 86 |
| 257, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 257 x 5 x 2 = 442040
Therefore, the lowest common multiple of 514,860,344 is 442040.
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.
514 x 860 x 344 = 152061760
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.
514 : 1, 2, 257, 514
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
344 : 1, 2, 4, 8, 43, 86, 172, 344
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,860,344, is 2.
Now, the common factors can be found like this.
514:2x 257
860:2x 2x 5x 43
344:2x 2x 2x 43
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 43 = 172
Therefore, the value for common factors is 172.
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 = 152061760/(2x172)
LCM = 152061760/344
LCM = 442040
Thus, we can understand that the LCM of 514,860,344 is 442040.
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FAQs on LCM of 514, 860, 344
1. What is the LCM of 514, 860, 344?
Answer: LCM of 514, 860, 344 is 442040.
2. How to calculate the LCM of 514, 860, 344?
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 514, 860, 344.
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}.