Find the LCM of 825, 269, 242, 497 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 825, 269, 242, 497. So, keep reading to learn more.
Given numbers are 825,269,242,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,269,242,497 is 2426527950.
Find LCM of 825,269,242,497 with Prime Factorization
11 | 825, 269, 242, 497 |
75, 269, 22, 497 |
Multiply the prime numbers at the bottom and the left side.
11 x 75 x 269 x 22 x 497 = 2426527950
Therefore, the lowest common multiple of 825,269,242,497 is 2426527950.
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.
825 x 269 x 242 x 497 = 26691807450
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
269 : 1, 269
242 : 1, 2, 11, 22, 121, 242
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,269,242,497, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
269:269
242:2x 11x 11
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 26691807450/(1x11)
LCM = 26691807450/11
LCM = 2426527950
Thus, we can understand that the LCM of 825,269,242,497 is 2426527950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 269, 242, 497?
Answer: LCM of 825, 269, 242, 497 is 2426527950.
2. How to calculate the LCM of 825, 269, 242, 497?
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 825, 269, 242, 497.
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}.