LCM of 297, 225, 441, 505, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 225, 441, 505, 685 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 297, 225, 441, 505, 685. So, keep reading to learn more.
Given numbers are 297,225,441,505,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,225,441,505,685 is 5034246525.
Find LCM of 297,225,441,505,685 with Prime Factorization
| 3 | 297, 225, 441, 505, 685 |
| 3 | 99, 75, 147, 505, 685 |
| 5 | 33, 25, 49, 505, 685 |
| 33, 5, 49, 101, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 33 x 5 x 49 x 101 x 137 = 5034246525
Therefore, the lowest common multiple of 297,225,441,505,685 is 5034246525.
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.
297 x 225 x 441 x 505 x 685 = 10194349213125
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
505 : 1, 5, 101, 505
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,225,441,505,685, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
225:3x 3x 5x 5
441:3x 3x 7x 7
505:5x 101
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 10194349213125/(1x2025)
LCM = 10194349213125/2025
LCM = 5034246525
Thus, we can understand that the LCM of 297,225,441,505,685 is 5034246525.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 225, 441, 505, 685
1. What is the LCM of 297, 225, 441, 505, 685?
Answer: LCM of 297, 225, 441, 505, 685 is 5034246525.
2. How to calculate the LCM of 297, 225, 441, 505, 685?
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 297, 225, 441, 505, 685.
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}.