LCM of 654, 927, 276, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 927, 276, 207 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 654, 927, 276, 207. So, keep reading to learn more.
Given numbers are 654,927,276,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,927,276,207 is 9295956.
Find LCM of 654,927,276,207 with Prime Factorization
| 2 | 654, 927, 276, 207 |
| 3 | 327, 927, 138, 207 |
| 3 | 109, 309, 46, 69 |
| 23 | 109, 103, 46, 23 |
| 109, 103, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 109 x 103 x 2 x 1 = 9295956
Therefore, the lowest common multiple of 654,927,276,207 is 9295956.
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.
654 x 927 x 276 x 207 = 34636732056
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
927 : 1, 3, 9, 103, 309, 927
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
207 : 1, 3, 9, 23, 69, 207
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,927,276,207, is 3.
Now, the common factors can be found like this.
654:2x 3x 109
927:3x 3x 103
276:2x 2x 3x 23
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 23 = 1242
Therefore, the value for common factors is 1242.
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 = 34636732056/(3x1242)
LCM = 34636732056/3726
LCM = 9295956
Thus, we can understand that the LCM of 654,927,276,207 is 9295956.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 927, 276, 207
1. What is the LCM of 654, 927, 276, 207?
Answer: LCM of 654, 927, 276, 207 is 9295956.
2. How to calculate the LCM of 654, 927, 276, 207?
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 654, 927, 276, 207.
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}.