LCM of 678, 456, 771, 823, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 456, 771, 823, 912 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, 456, 771, 823, 912. So, keep reading to learn more.
Given numbers are 678,456,771,823,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,456,771,823,912 is 21797477616.
Find LCM of 678,456,771,823,912 with Prime Factorization
| 2 | 678, 456, 771, 823, 912 |
| 2 | 339, 228, 771, 823, 456 |
| 2 | 339, 114, 771, 823, 228 |
| 3 | 339, 57, 771, 823, 114 |
| 19 | 113, 19, 257, 823, 38 |
| 113, 1, 257, 823, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 113 x 1 x 257 x 823 x 2 = 21797477616
Therefore, the lowest common multiple of 678,456,771,823,912 is 21797477616.
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 456 x 771 x 823 x 912 = 178913696272128
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
771 : 1, 3, 257, 771
823 : 1, 823
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,456,771,823,912, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
456:2x 2x 2x 3x 19
771:3x 257
823:823
912:2x 2x 2x 2x 3x 19
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 3x 19 = 8208
Therefore, the value for common factors is 8208.
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 = 178913696272128/(1x8208)
LCM = 178913696272128/8208
LCM = 21797477616
Thus, we can understand that the LCM of 678,456,771,823,912 is 21797477616.
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FAQs on LCM of 678, 456, 771, 823, 912
1. What is the LCM of 678, 456, 771, 823, 912?
Answer: LCM of 678, 456, 771, 823, 912 is 21797477616.
2. How to calculate the LCM of 678, 456, 771, 823, 912?
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, 456, 771, 823, 912.
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}.