LCM of 648, 914, 126, 132, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 914, 126, 132, 718 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 648, 914, 126, 132, 718. So, keep reading to learn more.
Given numbers are 648,914,126,132,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,914,126,132,718 is 8186087448.
Find LCM of 648,914,126,132,718 with Prime Factorization
| 2 | 648, 914, 126, 132, 718 |
| 2 | 324, 457, 63, 66, 359 |
| 3 | 162, 457, 63, 33, 359 |
| 3 | 54, 457, 21, 11, 359 |
| 18, 457, 7, 11, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 18 x 457 x 7 x 11 x 359 = 8186087448
Therefore, the lowest common multiple of 648,914,126,132,718 is 8186087448.
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.
648 x 914 x 126 x 132 x 718 = 7072779555072
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
914 : 1, 2, 457, 914
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
718 : 1, 2, 359, 718
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,914,126,132,718, is 2.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
914:2x 457
126:2x 3x 3x 7
132:2x 2x 3x 11
718:2x 359
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 3 = 432
Therefore, the value for common factors is 432.
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 = 7072779555072/(2x432)
LCM = 7072779555072/864
LCM = 8186087448
Thus, we can understand that the LCM of 648,914,126,132,718 is 8186087448.
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FAQs on LCM of 648, 914, 126, 132, 718
1. What is the LCM of 648, 914, 126, 132, 718?
Answer: LCM of 648, 914, 126, 132, 718 is 8186087448.
2. How to calculate the LCM of 648, 914, 126, 132, 718?
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 648, 914, 126, 132, 718.
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}.