LCM of 414, 321, 856, 927, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 321, 856, 927, 514 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 414, 321, 856, 927, 514. So, keep reading to learn more.
Given numbers are 414,321,856,927,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,321,856,927,514 is 4690449432.
Find LCM of 414,321,856,927,514 with Prime Factorization
| 2 | 414, 321, 856, 927, 514 |
| 3 | 207, 321, 428, 927, 257 |
| 3 | 69, 107, 428, 309, 257 |
| 107 | 23, 107, 428, 103, 257 |
| 23, 1, 4, 103, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 23 x 1 x 4 x 103 x 257 = 4690449432
Therefore, the lowest common multiple of 414,321,856,927,514 is 4690449432.
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.
414 x 321 x 856 x 927 x 514 = 54202833636192
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
321 : 1, 3, 107, 321
856 : 1, 2, 4, 8, 107, 214, 428, 856
927 : 1, 3, 9, 103, 309, 927
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,321,856,927,514, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
321:3x 107
856:2x 2x 2x 107
927:3x 3x 103
514:2x 257
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 3x 107 = 11556
Therefore, the value for common factors is 11556.
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 = 54202833636192/(1x11556)
LCM = 54202833636192/11556
LCM = 4690449432
Thus, we can understand that the LCM of 414,321,856,927,514 is 4690449432.
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FAQs on LCM of 414, 321, 856, 927, 514
1. What is the LCM of 414, 321, 856, 927, 514?
Answer: LCM of 414, 321, 856, 927, 514 is 4690449432.
2. How to calculate the LCM of 414, 321, 856, 927, 514?
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 414, 321, 856, 927, 514.
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}.