LCM of 215, 461, 209, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 461, 209, 825 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 215, 461, 209, 825. So, keep reading to learn more.
Given numbers are 215,461,209,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,461,209,825 is 310725525.
Find LCM of 215,461,209,825 with Prime Factorization
| 5 | 215, 461, 209, 825 |
| 11 | 43, 461, 209, 165 |
| 43, 461, 19, 15 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 43 x 461 x 19 x 15 = 310725525
Therefore, the lowest common multiple of 215,461,209,825 is 310725525.
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.
215 x 461 x 209 x 825 = 17089903875
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.
215 : 1, 5, 43, 215
461 : 1, 461
209 : 1, 11, 19, 209
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,461,209,825, is 1.
Now, the common factors can be found like this.
215:5x 43
461:461
209:11x 19
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 17089903875/(1x55)
LCM = 17089903875/55
LCM = 310725525
Thus, we can understand that the LCM of 215,461,209,825 is 310725525.
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FAQs on LCM of 215, 461, 209, 825
1. What is the LCM of 215, 461, 209, 825?
Answer: LCM of 215, 461, 209, 825 is 310725525.
2. How to calculate the LCM of 215, 461, 209, 825?
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 215, 461, 209, 825.
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}.