LCM of 906, 540, 723, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 540, 723, 648 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 906, 540, 723, 648. So, keep reading to learn more.
Given numbers are 906,540,723,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,540,723,648 is 117906840.
Find LCM of 906,540,723,648 with Prime Factorization
| 2 | 906, 540, 723, 648 |
| 2 | 453, 270, 723, 324 |
| 3 | 453, 135, 723, 162 |
| 3 | 151, 45, 241, 54 |
| 3 | 151, 15, 241, 18 |
| 151, 5, 241, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 151 x 5 x 241 x 6 = 117906840
Therefore, the lowest common multiple of 906,540,723,648 is 117906840.
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.
906 x 540 x 723 x 648 = 229210896960
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
723 : 1, 3, 241, 723
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,540,723,648, is 3.
Now, the common factors can be found like this.
906:2x 3x 151
540:2x 2x 3x 3x 3x 5
723:3x 241
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 229210896960/(3x648)
LCM = 229210896960/1944
LCM = 117906840
Thus, we can understand that the LCM of 906,540,723,648 is 117906840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 906, 540, 723, 648
1. What is the LCM of 906, 540, 723, 648?
Answer: LCM of 906, 540, 723, 648 is 117906840.
2. How to calculate the LCM of 906, 540, 723, 648?
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 906, 540, 723, 648.
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}.