LCM of 678, 856, 452, 642, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 856, 452, 642, 927 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 678, 856, 452, 642, 927. So, keep reading to learn more.
Given numbers are 678,856,452,642,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,856,452,642,927 is 89666856.
Find LCM of 678,856,452,642,927 with Prime Factorization
| 2 | 678, 856, 452, 642, 927 |
| 2 | 339, 428, 226, 321, 927 |
| 3 | 339, 214, 113, 321, 927 |
| 107 | 113, 214, 113, 107, 309 |
| 113 | 113, 2, 113, 1, 309 |
| 1, 2, 1, 1, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 113 x 1 x 2 x 1 x 1 x 309 = 89666856
Therefore, the lowest common multiple of 678,856,452,642,927 is 89666856.
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.
678 x 856 x 452 x 642 x 927 = 156119321649024
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
856 : 1, 2, 4, 8, 107, 214, 428, 856
452 : 1, 2, 4, 113, 226, 452
642 : 1, 2, 3, 6, 107, 214, 321, 642
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,856,452,642,927, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
856:2x 2x 2x 107
452:2x 2x 113
642:2x 3x 107
927:3x 3x 103
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 3x 3x 107x 113 = 1741104
Therefore, the value for common factors is 1741104.
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 = 156119321649024/(1x1741104)
LCM = 156119321649024/1741104
LCM = 89666856
Thus, we can understand that the LCM of 678,856,452,642,927 is 89666856.
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FAQs on LCM of 678, 856, 452, 642, 927
1. What is the LCM of 678, 856, 452, 642, 927?
Answer: LCM of 678, 856, 452, 642, 927 is 89666856.
2. How to calculate the LCM of 678, 856, 452, 642, 927?
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 678, 856, 452, 642, 927.
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}.