LCM of 867, 287, 969, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 287, 969, 267 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 867, 287, 969, 267. So, keep reading to learn more.
Given numbers are 867,287,969,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,287,969,267 is 420769839.
Find LCM of 867,287,969,267 with Prime Factorization
| 3 | 867, 287, 969, 267 |
| 17 | 289, 287, 323, 89 |
| 17, 287, 19, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 17 x 287 x 19 x 89 = 420769839
Therefore, the lowest common multiple of 867,287,969,267 is 420769839.
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.
867 x 287 x 969 x 267 = 64377785367
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.
867 : 1, 3, 17, 51, 289, 867
287 : 1, 7, 41, 287
969 : 1, 3, 17, 19, 51, 57, 323, 969
267 : 1, 3, 89, 267
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,287,969,267, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
287:7x 41
969:3x 17x 19
267:3x 89
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 17 = 153
Therefore, the value for common factors is 153.
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 = 64377785367/(1x153)
LCM = 64377785367/153
LCM = 420769839
Thus, we can understand that the LCM of 867,287,969,267 is 420769839.
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FAQs on LCM of 867, 287, 969, 267
1. What is the LCM of 867, 287, 969, 267?
Answer: LCM of 867, 287, 969, 267 is 420769839.
2. How to calculate the LCM of 867, 287, 969, 267?
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 867, 287, 969, 267.
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}.