LCM of 267, 242, 825, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 242, 825, 315 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 267, 242, 825, 315. So, keep reading to learn more.
Given numbers are 267,242,825,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,242,825,315 is 33922350.
Find LCM of 267,242,825,315 with Prime Factorization
| 3 | 267, 242, 825, 315 |
| 5 | 89, 242, 275, 105 |
| 11 | 89, 242, 55, 21 |
| 89, 22, 5, 21 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 89 x 22 x 5 x 21 = 33922350
Therefore, the lowest common multiple of 267,242,825,315 is 33922350.
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.
267 x 242 x 825 x 315 = 16791563250
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.
267 : 1, 3, 89, 267
242 : 1, 2, 11, 22, 121, 242
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,242,825,315, is 1.
Now, the common factors can be found like this.
267:3x 89
242:2x 11x 11
825:3x 5x 5x 11
315:3x 3x 5x 7
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 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 16791563250/(1x495)
LCM = 16791563250/495
LCM = 33922350
Thus, we can understand that the LCM of 267,242,825,315 is 33922350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 242, 825, 315
1. What is the LCM of 267, 242, 825, 315?
Answer: LCM of 267, 242, 825, 315 is 33922350.
2. How to calculate the LCM of 267, 242, 825, 315?
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 267, 242, 825, 315.
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}.