LCM of 267, 284, 229, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 284, 229, 216 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, 284, 229, 216. So, keep reading to learn more.
Given numbers are 267,284,229,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,284,229,216 is 312563016.
Find LCM of 267,284,229,216 with Prime Factorization
| 2 | 267, 284, 229, 216 |
| 2 | 267, 142, 229, 108 |
| 3 | 267, 71, 229, 54 |
| 89, 71, 229, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 89 x 71 x 229 x 18 = 312563016
Therefore, the lowest common multiple of 267,284,229,216 is 312563016.
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 284 x 229 x 216 = 3750756192
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
284 : 1, 2, 4, 71, 142, 284
229 : 1, 229
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,284,229,216, is 1.
Now, the common factors can be found like this.
267:3x 89
284:2x 2x 71
229:229
216:2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 3750756192/(1x12)
LCM = 3750756192/12
LCM = 312563016
Thus, we can understand that the LCM of 267,284,229,216 is 312563016.
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FAQs on LCM of 267, 284, 229, 216
1. What is the LCM of 267, 284, 229, 216?
Answer: LCM of 267, 284, 229, 216 is 312563016.
2. How to calculate the LCM of 267, 284, 229, 216?
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, 284, 229, 216.
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}.