LCM of 231, 828, 253, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 828, 253, 269 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 231, 828, 253, 269. So, keep reading to learn more.
Given numbers are 231,828,253,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,828,253,269 is 17150364.
Find LCM of 231,828,253,269 with Prime Factorization
| 3 | 231, 828, 253, 269 |
| 11 | 77, 276, 253, 269 |
| 23 | 7, 276, 23, 269 |
| 7, 12, 1, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 7 x 12 x 1 x 269 = 17150364
Therefore, the lowest common multiple of 231,828,253,269 is 17150364.
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.
231 x 828 x 253 x 269 = 13017126276
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
253 : 1, 11, 23, 253
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,828,253,269, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
828:2x 2x 3x 3x 23
253:11x 23
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 23 = 759
Therefore, the value for common factors is 759.
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 = 13017126276/(1x759)
LCM = 13017126276/759
LCM = 17150364
Thus, we can understand that the LCM of 231,828,253,269 is 17150364.
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FAQs on LCM of 231, 828, 253, 269
1. What is the LCM of 231, 828, 253, 269?
Answer: LCM of 231, 828, 253, 269 is 17150364.
2. How to calculate the LCM of 231, 828, 253, 269?
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 231, 828, 253, 269.
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}.