LCM of 648, 945, 344, 300, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 945, 344, 300, 822 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, 945, 344, 300, 822. So, keep reading to learn more.
Given numbers are 648,945,344,300,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,945,344,300,822 is 668039400.
Find LCM of 648,945,344,300,822 with Prime Factorization
| 2 | 648, 945, 344, 300, 822 |
| 2 | 324, 945, 172, 150, 411 |
| 2 | 162, 945, 86, 75, 411 |
| 3 | 81, 945, 43, 75, 411 |
| 3 | 27, 315, 43, 25, 137 |
| 3 | 9, 105, 43, 25, 137 |
| 5 | 3, 35, 43, 25, 137 |
| 3, 7, 43, 5, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 5 x 3 x 7 x 43 x 5 x 137 = 668039400
Therefore, the lowest common multiple of 648,945,344,300,822 is 668039400.
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 945 x 344 x 300 x 822 = 51946743744000
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
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
344 : 1, 2, 4, 8, 43, 86, 172, 344
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,945,344,300,822, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
945:3x 3x 3x 5x 7
344:2x 2x 2x 43
300:2x 2x 3x 5x 5
822:2x 3x 137
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 2x 2x 3x 3x 3x 3x 3x 5 = 77760
Therefore, the value for common factors is 77760.
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 = 51946743744000/(1x77760)
LCM = 51946743744000/77760
LCM = 668039400
Thus, we can understand that the LCM of 648,945,344,300,822 is 668039400.
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FAQs on LCM of 648, 945, 344, 300, 822
1. What is the LCM of 648, 945, 344, 300, 822?
Answer: LCM of 648, 945, 344, 300, 822 is 668039400.
2. How to calculate the LCM of 648, 945, 344, 300, 822?
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, 945, 344, 300, 822.
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}.