LCM of 894, 648, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 648, 654 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 894, 648, 654. So, keep reading to learn more.
Given numbers are 894,648,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,648,654 is 10524168.
Find LCM of 894,648,654 with Prime Factorization
| 2 | 894, 648, 654 |
| 3 | 447, 324, 327 |
| 149, 108, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 108 x 109 = 10524168
Therefore, the lowest common multiple of 894,648,654 is 10524168.
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.
894 x 648 x 654 = 378870048
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
654 : 1, 2, 3, 6, 109, 218, 327, 654
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,648,654, is 6.
Now, the common factors can be found like this.
894:2x 3x 149
648:2x 2x 2x 3x 3x 3x 3
654:2x 3x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 378870048/(6x6)
LCM = 378870048/36
LCM = 10524168
Thus, we can understand that the LCM of 894,648,654 is 10524168.
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FAQs on LCM of 894, 648, 654
1. What is the LCM of 894, 648, 654?
Answer: LCM of 894, 648, 654 is 10524168.
2. How to calculate the LCM of 894, 648, 654?
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 894, 648, 654.
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}.